scientific article; zbMATH DE number 3414757
From MaRDI portal
zbMath0263.35001MaRDI QIDQ5679204
Publication date: 1973
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elliptic equations and elliptic systems (35J99) Hyperbolic equations and hyperbolic systems (35L99) Parabolic equations and parabolic systems (35K99) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
Related Items
Global existence of small solutions to a class of nonlinear evolution equations, Regularity of Solutions to Bilinear Stochastic Wave Equations, Asymptotics for the nonlinear dissipative wave equation, Transmission Problems for Thermoelastic Plates with Transverse Shear Deformation, Asymptotic stability of the stationary solution for a new mathematical model of charge transport in semiconductors, Note on propagation of classical waves: I, On some nonlinear hyperbolic systems with damping boundary conditions, The Continuity of Solutions with Respect to a Parameter to Symmetric Hyperbolic Systems, Blow up for a Cauchy viscoelastic problem with a nonlinear dissipation of cubic convolution type, Density condition at infinity and resonance in nonlinear elliptic partial differential equations, Stability of nonconstant steady-state solutions to a Ginzburg–Landau equation in higher space dimensions, Conditional stability in determining a heat source, The Cauchy Problem for Hyperbolic Operators with Variable Multiple Characteristics, Decaying and nondecaying properties of the local energy of an elastic wave outside an obstacle, Regularity estimates for solutions of semilinear hyperbolic equations of higher space dimensions, Evolution equations with forcing term for a class of nonlinear operators, ON AN ELLIPTIC BOUNDARY VALUE PROBLEM ARISING IN MAGNETOHYDRODYNAMICS, Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions, Convergence of singularly perturbed nonlinear hyperbolic systems, Difference schemes for solving the Cauchy problem for a second-order operator differential equation, On the asymptotics of the solution of the Dirichlet problem for a fourth-order equation in a layer, Unnamed Item, A Global Existence Result For Quasi–Linear Parabolic Equations, Unnamed Item, On three-dimensional elastodynamic problems of one-dimensional quasicrystals, Oscillations and Energy Densities in the Wave Equation, Regularity of a thermoelastic problem with variable parameters, Remarks on global solutions to the initial-boundary value problem for quasilinear degenerate parabolic equations with a nonlinear source term, On the Feynman path integral for the magnetic Schrödinger equation with a polynomially growing electromagnetic potential, Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm, Nonlinear elliptic partial differential equations at resonance: Higher eigenvalues, On the incompressible limit of the compressible Euler equation, On the volume singular integro-differential equation approach for the electromagnetic diffraction problem, On Wave Operators for the Multidimensional Electromagnetic Schrödinger Operator in the Divergent Form, The generalized Goursat-Darboux problem for a third order operator, Observability, controllability, and feedback stabilizability for evolution equations, III, On semilinear elliptic boundary value problems in unbounded domains, A necessary condition or the well-posedness of the Cauchy problem or a certain class of evolution equations, L∞C(ℝn)-decay of classical solutions for nonlinear Schrödinger equations, Local existence of solution for the initial boundary value problem of fully nonlinear wave equation, Spectral theory of functions in studying partial differential operators, Strictly Hyperbolic Cauchy Problems with Coefficients Low-Regular in Time and Space, On the sum of two maximal monotone operators II, Subdifferential operator approach to nonlinear age-dependent population dynamics, Local energy decay for a class of hyperbolic equations with constant coefficients near infinity, On the regular solutions for some classes of Navier-Stokes equations, Discrete-time controllability for distributed parameter systems, Regulator design for distributed parameter systems with constant disturbances, Optimal control of temperature distribution by using scanning control, Time-periodic solutions to semilinear parabolic equations, ON THE FEYNMAN PATH INTEGRAL FOR NONRELATIVISTIC QUANTUM ELECTRODYNAMICS, Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients, An example of temporally inhomogeneous scattering, Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients, On the mixed problems for weakly hyperbolic equations of second order, The Essential Spectrum of a System of Singular Ordinary Differential Operators of Mixed Order. Part I: The General Problem and an Almost Regular Case, On Cauchy problem for a system of linear partial differential equations with constant coefficients, Finite-dimensional servomechanism design for parabolic distributed-parameter systems, Ar kovalevskian systems with time-dependent coefficients, An algorithm to compute the eigenvalues/functions of the laplacian operator within a region containing a sharp corner, Non-trivial solutions of elliptic equations at resonance, Parameter identifiability for distributed parameter systems of hyperbolic type, The Cauchy problem for differential operators with double characteristics, Global existence of classical solutions to the initial-boundary value problem of the semilinear wave equations with a degenerate dissipative term, Explosion Problems for Symmetric Diffusion Processes, Finite-dimensional model reference adaptive control of a class of nonlinear distributed systems with quasi-sliding mode, Optimal estimation problems for a linear distributed parameter system, Finite-dimensional VS-MRAC of distributed parameter systems with boundary inputs, Le probleme de cauchy pour une classe des systems faiblement hyperboliques, On a class of weighted Sobolev spaces and the minimization of quadratic forms, Unnamed Item, Probleme de cauchy non caracteristique pour les systemes hyperboliques a caracteristiques de multiplicite variable domaine de dependance, Non-scattering energies for acoustic-type equations on manifolds with a single flat end, Semilinear Stochastic Hyperbolic Systems in One Dimension, Convergence of singular limits for multi-D semilinear hyperbolic systems to parabolic systems, Eigenfunction expansions associated with a two-parameter system of differential equations, On the cauchy problem for weakly hyperbolic equations, Note on propagation of classical waves: II, Discrete-time observability for distributed parameter systems, Unnamed Item, Reduction of distributed system identification complexity using intelligent sensors, On Blow up of Solutions of Nonlinear Evolution Equations, Approximations of the operator exponential in a periodic diffusion problem with drift, Bit complexity of computing solutions for symmetric hyperbolic systems of PDEs with guaranteed precision, Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form, H ∞ Well-Posedness for Degenerate p-Evolution Models of Higher Order with Time-Dependent Coefficients, Born approximation and sequence for hyperbolic equations, Solution of initial value problems for first order systems using matrix notation, Solution of initial value problems for first order systems using matrix notation, Scattering for strictly hyperbolic systems with time-dependent coefficients, An eigenfunction expansion associated with a two-parameter system of differential equations. I, The point spectrum of the linearized Boltzmann operator with an external-force potential in an exterior domain, An eigenfunction expansion associated with a two-parameter system of differential equations. II, Pseudo-differential operators with meromorphic symbols and systems of complex differential equations, Feedback control of second-order evolution equations with unbounded observation†, Levenberg-Marquardt method for solving inverse problem of MRE based on the modified stationary Stokes system, On the propagation of the analytic regularity in strictly hyperbolic equations which are lipschitz continuous with respect to time, Well-posedness in Sobolev spaces of the full water wave problem in 3-D, Cauchy problem for degenerate parabolic equations, A mixed problem for weakly hyperbolic equations of second order, Modulus of continuity of the coefficients and loss of derivatives in the strictly hyperbolic Cauchy problem, Distribution algorithm in finite difference method and its application to a 2D simulation of temperature inversion, Lower-semicontinuity in domain optimization problems, On a generalization of the Dirichlet problem for the Poisson equation, Relaxation and propagation of pulses in fluids, Nonlinear asymptotic stability of the equilibrium state for the MEP model of charge transport in semiconductors, Pointwise completeness and degeneracy of functional differential equations in Banach spaces. I: General time delays, The Dirichlet problem in half-space for elliptic equations with unbounded coefficients, On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order, On a differential game in an abstract parabolic system, Energy estimates at infinity for hyperbolic equations with oscillating coefficients, Hyperbolic equations for heat transfer. Global solvability of the Cauchy problem, Total energy decay for the wave equation in exterior domains with a dissipation near infinity, Higher-order degenerate elliptic equations: spaces, operators, boundary- value problems, Homogeneous random pseudodifferential operators of first order, Analysis of nondegenerate Wiener-Poisson functionals and its applications to Itō's SDE with jumps, Fredholm property of pseudodifferential operators on \({\mathbb{R}}^ n\) in the scale of the spaces \(L_{2,p}\), Remarks on approximate boundary controllability for distributed parameter systems of parabolic type: supremum norm problem, \(L_{p,q}\)-estimates for certain semiliner parabolic equations, The averaging principle and periodic solutions for nonlinear evolution equations at resonance, Global well-posedness of Kirchhoff systems, A well-posedness result for hyperbolic operators with Zygmund coefficients, A stability investigation for an incompressible simple fluid with fading memory, On stability for symmetric hyperbolic systems. I, The behavior of domain decomposition methods when the overlapping length is large, Weak and strong extensions of first-order differential operators in \(R^m\), Wave interaction model for a Cauchy-Kovalevskaya system of first-order partial differential equations with constant coefficients, Global classical solutions to \(u_t-\Delta(u^{2m+1})+\lambda u=f\)., Global classical solutions for reaction-diffusion systems with nonlinearities of exponential growth, Die klassisch-reguläre Lösbarkeit des Rand-Anfangswertproblems nichtlinearer Wellengleichungen mit einer Randbedingung vom gemischten Typ. (The classical regular solvability of the boundary initial value problem of nonlinear wave equations with a mixed type boundary condition), Investigation of generalized Liouville equation, On Zorawski's condition for a velocity field in one frame to be steady in a second frame, Local-in-time well-posedness of a regularized mathematical model for silicon MESFET, Stability of Friedrichs's scheme in the maximum norm for hyperbolic systems in one space dimension, Theory of almost-periodic pseudodifferential operators, Hyperbolic-like estimates for higher order equations, Whispering gallery waves in a neighborhood of a higher order zero of the curvature of the boundary, Solvability in distributions for a class of singular differential operators. III, Theory of degenerate second order hyperbolic equations, Global solvability of a continuous model for nonlocal fragmentation dynamics in a moving medium, Gravity waves on the free surface of an incompressible perfect fluid of finite depth, A criterion for the coincidence of extensions, corresponding to Dirichlet's and Neumann's problems, of an elliptic operator, On global in time dynamics of a planar Bingham flow subject to a subdifferential boundary condition, Generalization of a Hardy-Littlewood-Polya inequality, A mathematical modeling approach to the formation of urban and rural areas: convergence of global solutions of the mixed problem for the master equation in sociodynamics, On a time nonlocal problem for inhomogeneous evolution equations, Long-time behavior of small solutions to quasilinear dissipative hyperbolic equation., Singular boundary value problem in domains on a cone, Singular boundary value problems in domains of the Lobachevskii space, Uniqueness of generalized Schrödinger operators and applications, The displacement initial-boundary value problem in bending of thermoelastic plates weakened by cracks, On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness, On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation, A generalization of the idea of distributions, On reflected Dirichlet spaces, Homogenization and corrector for the wave equation with discontinuous coefficients in time, On a finite element scheme based on the discrete Kirchhoff assumption, Pointwise solution of pseudoparabolic equations in the whole space, On the validity of the finite element analysis of circular arches represented by an assemblage of beam elements, Maxwell's equations in inhomogeneous bi-anisotropic materials: existence, uniqueness and stability for the initial value problem, Convergence of the ACM finite element scheme for plate bending problems, On a mixed problem for d'Alembertian with a mixed boundary condition - an example of moving boundary, Some uniqueness theorems for first order hyperbolic systems, Probabilistic analysis of the upwind scheme for transport equations, Extrapolation to the limit for numerical solutions of hyperbolic equations, Uniqueness of the Dirichlet problem for a partial differential equation of the fourth-order, On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition, Asymptotic behavior at infinity for Green's functions of first order systems with characteristics of nonuniform multiplicity, Carleman parabola and the eigenvalues of elliptic operators, A remark on the preceding paper of Fucik and Krbec, On some nonlinear evolution with the strong dissipation, A hereditary partial differential equation with applications in the theory of simple fluids, Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation, The propagation of singularities along gliding rays, On the global Cauchy problem for \(\square\,u+g^2u-u^3=f\), Feedback stabilization for distributed parameter systems of parabolic type, Spectral boundary value problems in Lipschitz domains for strongly elliptic systems in Banach spaces \(H_p ^\sigma\) and \(B_p^\sigma \), On the Dirichlet problem for infinite cylinders and equations with transversely varying coefficients, On the index of elliptic partial differential operators in \(R^n\), On the well-posedness of the Cauchy problem for the equation of radiative transfer with Fresnel matching conditions, Correctness of certain linear problems regarding the stability of strong gaps in magnetohydrodynamics, A regularizing algorithm for the solution of the inverse problem for an inhomogeneous string, An energy stability method for simple fluids, L\({}^ p\)- \(L^ q\) estimates for solutions to the damped plate equation in exterior domains, Method of fictitious regions for one class of fourth-order quasilinear elliptic equations, Retarded differential equations with piecewise constant delays, The asymptotic expansion of the solution of a boundary-value problem with rapidly alternating type of boundary conditions, An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\), Optimal partitioned filter of stochastic distributed parameter dynamical systems with unknown initial state, On an elaboration of M. Kac's theorem concerning eigenvalues of the Laplacian in a region with randomly distributed small obstacles, Exterior complex scaling and the AC-Stark effect in a Coulomb field, On the uniqueness of solutions of a certain characteristic Cauchy problem, Feedback stabilization for distributed parameter systems of parabolic type. II, Asymptotic normality of solutions of boundary-value problems with random coefficients, On existence and uniqueness in incremental thermoelasticity, Regularly hyperbolic systems and Gevrey classes, An elliptic boundary value problem occuring in magnetohydrodynamics, On the hyperbolicity of Einstein's and other gauge field equations, Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model, On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain, Hukuhara's problem for equations of evolution, Finite-dimensional decentralized VS-MRAC of non-linear interconnected distributed parameter systems, Eigenfunction expansions associated with the Schrödinger operator with a complex potential and the scattering theory, Some remarks on radiation conditions, THE WAVE EQUATION ON A THIN DOMAIN: ENERGY DENSITY AND OBSERVABILITY, EXISTENCE OF A WEAK SOLUTION IN AN INFINITE VISCOELASTIC STRIP WITH A SEMI-INFINITE CRACK, Boundary value problems for some degenerate elliptic equations of second order with Dirichlet condition, Unnamed Item, Mixed problems of hyperbolic equations in a general domain, A uniqueness theorem for symmetric hyperbolic systems of first order in one space variables, Unnamed Item, On the spectrum of the Laplace-Beltrami operator on a non-compact surface, Decay of solutions to the initial boundary value problem of the Stokes system in the halfspace, The Cauchy problem for a quasilinear system of equations with coupling in the linearization, Non-local Markovian symmetric forms on infinite dimensional spaces. II: Applications: non local stochastic quantization of space cut-off quantum fields and infinite particle systems, Determination of temperature at the outer boundary of a body, On some non-linear equations, Integral geometry of a tensor field on a manifold whose curvature is bounded above, Integral geometry of a tensor field on a manifold whose curvature is bounded above, Local maxima of solutions to some nonsymmetric reaction-diffusion systems, Branching random motions, nonlinear hyperbolic systems and travellind waves, Time-Dependent Loss of Derivatives for Hyperbolic Operators with Non Regular Coefficients, Cauchy problems of fractional order and stable processes, On the spectral resolution of the quantum Toda lattice, EXISTENCE OF GLOBAL MARTINGALE SOLUTIONS TO STOCHASTIC HYPERBOLIC EQUATIONS DRIVEN BY A SPATIALLY HOMOGENEOUS WIENER PROCESS, Uniqueness in the Cauchy problem for partial differential equations with multiple characteristic roots, Generalized Schwartz–Gunning theorem and Weyl type lemmas for the Schrödinger operator, Initial boundary value problem for the radiative transfer equation with diffusion matching conditions, Stochastic wave equations with polynomial nonlinearity, Lyapunov quantities for Andronov-Hopf bifurcation problem in reaction-diffusion systems, Solvability of the localized induction equation for vortex motion, A remark on global smooth solutions for quasilinear wave equations, The Schrödinger operator with a penetrable wall interaction, A boundary condition with memory in electromagnetism, Notes on the Feynman path integral for the Dirac equation, \(L^ p\)-approach to steady flows of viscous compressible fluids in exterior domains, Hyperbolic geometry and local Dirichlet-Neumann map, Some remarks on solvability of Dirichlet problem for Laplace equation in non-standard function spaces, Characterization of the domain of fractional powers of a class of elliptic differential operators with feedback boundary conditions, On steady compressible Navier-Stokes equations in plane domains with corners, Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field, Diagonal symmetrizers for hyperbolic operators with triple characteristics, The log-effect for \(2\) by \(2\) hyperbolic systems, Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type, Scattering theory for elastic wave propagation problems in perturbed stratified media. II, Random-field solutions of weakly hyperbolic stochastic partial differential equations with polynomially bounded coefficients, Spectral analysis of hypoelliptic Višik-Ventcel' boundary value problems, Unnamed Item, Slow motion of a body in a fluid of second grade, On second-order parabolic and hyperbolic perturbations of a first-order hyperbolic system, Convergence of Levenberg-Marquardt method for the inverse problem with an interior measurement, Eigenvalues of the Laplacian in a domain with a thin tubular hole, The continuity and the differentiability of solutions on parameters to the Schrödinger equations and the Dirac equations, A Hopf index theorem for foliations., Asymptotic behavior of the solutions for the Laplace equation with a large spectral parameter and the inhomogeneous Robin type conditions, Global existence and regularity of solutions to a system of nonlinear Maxwell equations., On the radius of spatial analyticity for semilinear symmetric hyperbolic systems, Blow up for the wave equation with a nonlinear dissipation of cubic convolution type in \(\mathbb R^N\), Transversally strictly hyperbolic systems, Stabilised finite element methods for steady incompressible flow, Estimates of the integral kernels arising from inverse problems for a three-dimensional heat equation in thermal imaging, Conditional stability estimation for an inverse boundary problem with non-smooth boundary in $\mathcal {R}^3$, Continuum limit for three-dimensional mass-spring networks and discrete Korn's inequality, Solutions, spectrum, and dynamics for Schrödinger operators on infinite domains, Solutions of hyperbolic stochastic PDEs on bounded and unbounded domains, A degenerate hyperbolic equation under Levi conditions, Loss of derivatives in evolution Cauchy problems, The well-posedness of dynamical equations of magneto-electro-elasticity, Talagrand inequality on free path space and application to stochastic reaction diffusion equations, On the constants for some fractional Gagliardo-Nirenberg and Sobolev inequalities, Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity, On Lavrent'ev-type integral equations in coefficient inverse problems for wave equations, Asymptotic profiles for wave equations with strong damping, Spectral analysis of the hypoelliptic Robin problem, Discrete model of the nonsymmetric theory of elasticity, Solvability of the initial-boundary value problem for an integrodifferential equation, Uniqueness of weighted Sobolev spaces with weakly differentiable weights, On the regularity property for solutions of the equation of linear elastostatics with discontinuous boundary condition, Global existence for the system of the macroscopic balance equations of charge transport in semiconductors, Chaotic \(C_0\)-semigroups induced by semiflows in Lebesgue and Sobolev spaces, Time decay for hyperbolic equations with homogeneous symbols, Local energy decay for linear wave equations with variable coefficients, Strictly hyperbolic equations with coefficients low-regular in time and smooth in space, Reconstruction and uniqueness of an inverse scattering problem with impedance boundary, Differentiability properties of the symbol of a generalized Riesz potential with homogeneous characteristic, Solution theory to semilinear hyperbolic stochastic partial differential equations with polynomially bounded coefficients, An approximation theorem of Runge type for kernels of certain non-elliptic partial differential operators, Note on strongly hyperbolic systems with involutive characteristics, Wazewski's method for nonlinear evolution equations, Bayesian approach for recovering piecewise constant viscoelasticity from MRE data, Liouville formula for some classes of differential equations with the Hukuhara derivative, A generalization of the Yang-Mills equations, Changes in a finite part of the spectrum of the Laplace operator under delta-like perturbations, Asymptotic behavior of the first boundary-value problem for elliptic equations in domains with a thin coating, Mixed problems for singular and degenerate hyperbolic equations, Asymptotic solutions of the elastic wave equation and reflected waves near boundaries, Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula, Existence theory for damped gravity waves in a closed rectangular basin, Mathematical quantum Yang-Mills theory revisited. II: Mass without mass, Spectral and scattering theory for symmetric hyperbolic systems in an exterior domain, A mixed problem for hyperbolic equations of second order with a first order derivative boundary condition, Finiteness of the number of discrete eigenvalues of the Schrödinger operator for a three particle system, Numerical method for solving an inverse problem for Laplace's equation in a domain with an unknown inner boundary, Initial boundary value problem for nonlinear Dirac equation of Gross-Neveu type in 1 + 1 dimensions, Simplified conditions of initial observability for infinite-dimensional second-order damped dynamical systems, Infinite dimensional parameter identification for stochastic parabolic systems, Random field solutions to linear SPDEs driven by symmetric pure jump Lévy space-time white noises, On boundary value problems for elliptic equations degenerating on the boundary, Initial-boundary value problems for first order hyperbolic systems, Direct and inverse scalar scattering problems for the Helmholtz equation in \(\mathbb{R}^m\), On the Fourier transform of rotationally invariant distributions, \(L_p\) regularity theorem for elliptic equations in less smooth domains, Solvability of initial-boundary value problems for bending of thermoelastic plates with mixed boundary conditions, On the solvability of some dynamic poroelastic problems, Atomic functions of three variables invariant with respect to a rotation group, Isometric immersions with the same Gauss map, On a sharp Levi condition in Gevrey classes for some infinitely degenerate hyperbolic equations and its necessity, The Boas problem on Hankel transforms, An infinite continuous model which derives from a finite discrete model describing the time evolution of the density of firms., Stability and well posedness for a dissipative boundary condition with memory in electromagnetism, Mini-maximizers for reaction-diffusion systems with skew-gradient structure, An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method, Invariant manifolds and global attractor of the Ginzburg-Landau integro-differential equation, Asymptotic profiles for a strongly damped plate equation with lower order perturbation, Exponential growth for a fractionally damped wave equation, On a system of differential equations with operator coefficients and its applications to multidimensional systems of composite type, Global existence for systems of nonlinear wave equations in two space dimensions, Instability in a geometric parabolic equation on convex domain instability on convex domain.