On the theory of general partial differential operators

From MaRDI portal

Publication:766721

Jump to:navigation, search

DOI10.1007/BF02392492zbMath0067.32201WikidataQ56288614 ScholiaQ56288614MaRDI QIDQ766721

Lars Hörmander

Publication date: 1955

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

partial differential equations

Related Items

Normal forms of linear second order partial differential equations on the plane, On the explicit calculation of fundamental solutions, Introduction de poids dans l'étude de problèmes aux limites, Charakterisierung der elliptischen Differentialoperatoren, Sulle matrici fondamentali principali per una classe di sistemi differenziali ellittici ed ipoellittici, Intorno alle classi funzionali di Gevrey, Elliptic boundary-value problems in the sense of Lawruk on Sobolev and Hörmander spaces, Discretisations of rough stochastic PDEs, Résolubilité d'équations différentielles et représentation induites. (Solubility of differential equations and induced representations), Definitions of maximal differential operators, On weak and strong extensions of partial differential operators with constant coefficients, Differentiability properties of solutions of systems of differential equations, Equations with nonnegative characteristic form. I, Equations with nonnegative characteristic form. II, Integral representation and embedding theorems for \(n\)-dimensional multianisotropic spaces with one anisotropic vertex, Elliptic problems with rough boundary data in generalized Sobolev spaces, \(L_\mu^p\)-spectra of pseudo-differential operators associated with the Bessel operator, A lost chapter in the pre-history of algebraic analysis: Whittaker on contact transformations, On the existence of weak solutions to linear partial differential equations, A priori inequalities connected with systems of partial differential equations, Fundamental solutions of a class of ultra-hyperbolic operators on pseudo \(H\)-type groups, The Cauchy problem at simply characteristic points and P-convexity, Book review of: Lars Hörmander, The analysis of linear partial differential operators I--IV., On determining the domain of the adjoint operator, Generalized solutions of the linear boundary value problems, Wavelet multiplier associated with the Watson transform, Regularization of divergent integrals: a comparison of the classical and generalized-functions approaches, Sur une classe d'opérateurs différentiels hypoelliptiques, Propriétés et existence des solutions de certaines classes d'équations du type elliptique, \(L^ p-\)spectra of strongly Carleman pseudo-differential operators, \(q\)-difference operator and its \(q\)-cohyponormality, Unnamed Item, Representation of all maximally dissipative multipoint differential operators for first order, Hypoellipticité, On local integrability of fundamental solutions, Extraction of smooth solutions of a class of regular equations in a rectangle, On almost hypoelliptic polynomials increasing at infinity, A theory of regularity structures, The spectra of the Laplacian, Embedding theorems for general multianisotropic spaces, Universal boundary value problem for equations of mathematical physics, Stable solutions of symmetric systems involving hypoelliptic operators, On extraction of smooth solutions of a class of almost hypoelliptic equations with constant power, Some properties of solutions to weakly hypoelliptic equations, On estimates for the tensor product of two homogeneous elliptic operators, Integral representations of functions and embedding theorems for multianisotropic spaces on the plane with one anisotropy vertex, Solvability of inhomogeneous boundary-value problems for fourth-order differential equations, Necessary and sufficient conditions hypoellipticity of certain left invariant operators on nilpotent lie groups, On the asymptotic behavior of resolvent kernels and spectral functions for some class of hypoelliptic operators, Equivalence of measures for some class of Gaussian random fields, Maximally dissipative differential operators of first order in the weighted Hilbert space, On uniqueness in Cauchy's problem for elliptic partial differential operators with characteristics of multiplicity greater than two, The local Cauchy problem in \(R^2\) at a point where two characteristic curves have a common tangent, Self-adjointness of a differential operator with unbounded singular operator coefficient, Some remarks on vector analysis, Some metric aspects of the open mapping and closed graph theorems, Sulle proprieta differenziali delle soluzioni delle equazioni quasi- ellittiche, Asymptotic estimates for spectral functions connected with hypoelliptic differential operators, On the structure of some abstract differential problems. I, Exact boundary control for the wave equation in a polyhedral time-dependent domain, Zur Struktur elliptischer Differentialoperatoren mit konstanten Koeffizienten, Problems in linked operators. II, The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds, On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces, Equation-domain duality in the Dirichlet problem for general differential equations in the space \(L_2\), Über Hilbert-Schmidtsche Einbettungen der Distributionsräume \({\overset {0} H}^ \mu (\Omega)\), On the existence of spatially tempered null solutions to linear constant coefficient PDES, Rélations de domination entre opérateurs différentieles, Partial differential equations in the 20th century, The spectra of non-elliptic operators, On the Cauchy problem for hyperbolic differential equations with multiple characteristics, Opérateurs différentiels hypoelliptiques, Maximally accretive differential operators of first order in the weighted Hilbert spaces, Sobolev-like Hilbert spaces induced by elliptic operators, Taylor type and Hermite type interpolants in \(\mathbb{R}^n \), A Dirichlet type problem for hyperbolic equations with constant coefficients, Basis for power series solutions to systems of linear, constant coefficient partial differential equations, On the behavior at infinity of solutions to differential equations in Hilbert spaces, Weak solutions of nonlinear evolution equations of Sobolev-Galpern type, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Quasi-elliptic and weakly coercive systems in Sobolev spaces of vector functions, An asymptotic expansion for the heat equation, Extremal length and functional completion, On the regularity of the solutions of boundary problems, Functional analysis and partial differential equations. I, Some estimates for spectral functions connected with formally hypoelliptic differential operators, Differential operators of principal type, A metric result about the zeros of a complex polynomial ideal, Null solutions of partial differential equations, Hypoelliptic differential operators, Functional analysis and partial differential equations. II, Some singular Cauchy problems, Volterra relatively compact perturbations of the Laplace operator, Dissipative Operators and Hyperbolic Systems of Partial Differential Equations, Hypoellipticity of Fediĭ's type operators under Morimoto's logarithmic condition, Interior regularity operators, The theory of primary measurements after Poincaré-Ehrenfest for the nonstationary Schrödinger equation, Criteria for the discreteness of the spectrum of a hypoelliptic operator, Cauchy problem for overdetermined systems, Unnamed Item, Nirenberg’s contributions to linear partial differential equations: Pseudo-differential operators and solvability, On the existence of local solutions for some linear partial differential operators, Sur l’unicité du problème de Cauchy, On the asymptotic behavior of resolvent kernels and spectral functions for some class of hypoelliptic operators, Convolution Operators as Generators of One-Parameter Semigroups, Unnamed Item, Unnamed Item, First order maximally dissipative singular differential operators, Completely Well-Posed Problems for Nonlinear Differential Equations, Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain, Early influences, the Fuglede question, spectrum vs tiling, and connection to related work by John von Neumann, Irving Segal, Marshall Stone, and David Shale, On weak solutions of boundary value problems for some general differential equations, Hermite interpolation associated with certain quadratic polynomials in \(\mathbb{R}^n\), On the Birman problem in the theory of nonnegative symmetric operators with compact inverse, Covariance representations, \(L^p\)-Poincaré inequalities, Stein's kernels, and high-dimensional CLTs, Unnamed Item, BOUNDEDLY SOLVABLE NEUTRAL TYPE DELAY DIFFERENTIAL OPERATORS OF THE FIRST ORDER, Unbounded Normal Operators in Hilbert Space, An algebraic approach to solving boundary value problems, Partial regularity and applications, Rellich type decay theorem for equationP(D)u= ƒ with ƒ supported in infinite cyclinders, Unnamed Item, Sub-Riemannian Geometry and Hypoelliptic Operators, On the propagation of regularity of solutions of partial differential equations with constant coefficients, Un théorème sur les équations aux dérivées partielles à coefficients constants dépendant de paramètres, On conditionally hypoelliptic properties of partially hypoelliptic operators, On the uniqueness of solutions of the Cauchy problem for hypoelliptic partial differential operators, A weighted \(L^2\)-norm inequality for partial differential operators with constant coefficient, Some recent developments in the theory of partial differential equations, First order self-adjoint multipoint quasi-differential operators, Unnamed Item, Partially hypoelliptic pseudodifferential operators, Unnamed Item, Cutting the loss of derivatives for solvability under condition $(\Psi )$, Invariant differential equations on homogeneous manifolds, On Global Hypoellipticity, On Nonlocal Normal Forms of Linear Second Order Mixed Type PDEs on the Plane, A Characterization of Hypoelliptic Differential Operators with Variable Coefficients, On the Dominance of Partial Differential Operators, Unnamed Item, On local solvability of linear partial differential equations, Quelques résultats d'existence dans des équations aux dérivées partielles non linéaires, Multipoint selfadjoint quasi-differential operators for first order, Unnamed Item

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:766721&oldid=12693135"