scientific article; zbMATH DE number 1543257
From MaRDI portal
Publication:4520724
zbMath0965.35003MaRDI QIDQ4520724
Jürgen Rossmann, Vladimir Gilelevich Maz'ya, Vladimir A. Kozlov
Publication date: 13 December 2000
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boundary value problems for higher-order elliptic equations (35J40) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs with low regular coefficients and/or low regular data (35R05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Applications of functional analysis to differential and integral equations (46N20)
Related Items
The compressible Stokes flows with no-slip boundary condition on non-convex polygons, Geometric singularities and regularity of solution of the Stokes system in nonsmooth domains, EXISTENCE RESULTS FOR FLOWS OF SLIGHTLY COMPRESSIBLE VISCOELASTIC FLUIDS IN A BOUNDED DOMAIN WITH CORNERS, Optimal control of the convection-diffusion equation using stabilized finite element methods, Impermeability through a perforated domain for the incompressible two dimensional Euler equations, On the Hadamard Formula for Second Order Systems in Non-Smooth Domains, Bilaplacian problems with a sign-changing coefficient, Finite elements with mesh refinement for elastic wave propagation in polygons, Unnamed Item, Geometric BVPs, Hardy spaces, and the Cauchy integral and transform on regions with corners, Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra II: Mesh Refinements and Interpolation, Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey, A priori error estimates for elliptic optimal control problems with a bilinear state equation, A Priori Error Analysis for an Optimal Control Problem Governed by a Variational Inequality of the Second Kind, An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem, On the homogeneity of global minimizers for the Mumford-Shah functional when \(K\) is a smooth cone, Unnamed Item, Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type, Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values, Mixed boundary value problems for the Laplace–Beltrami equation, Besov regularity of inhomogeneous parabolic PDEs, Cavity Dynamics and Regularity for Compressible Navier–Stokes Equations, A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model, An error analysis of the finite element method of the Stokes equations with parameter based on the singular function expansion, On the Neumann problem for the nonstationary Stokes system in angles and cones, Analysis of Time-Harmonic Maxwell Impedance Problems in Anisotropic Media, Cut singularity of compressible Stokes flow, A note on the regularity of the holes for permeability property through a perforated domain for the 2D Euler equations, Oblique derivative problems for elliptic equations on conical domains, On singularities of solution of the elasticity system in a bounded domain with angular corner points, On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates, On the behavior of solutions of the nonstationary Stokes system near the vertex of a cone, A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space, The multidirectional Neumann problem in \(\mathbb R^{4}\), Different degrees of non-compactness for optimal Sobolev embeddings, Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces, For the parabolic Lamé system on polygonal domains: the transport equation, Boundedness of the Hessian of a Biharmonic Function in a Convex Domain, Besov regularity of parabolic and hyperbolic PDEs, Regularity of solutions to the polyharmonic equation in general domains, A finite element method for a three-field formulation of linear elasticity based on biorthogonal systems, Unnamed Item, The hydromechanical equilibrium state of poroelastic media with a static fracture: A dimension-reduced model with existence results in weighted Sobolev spaces and simulations with an XFEM discretization, Analytic Regularity for the Incompressible Navier--Stokes Equations in Polygons, Unnamed Item, An anisotropic finite element method on polyhedral domains: Interpolation error analysis, Flux intensity functions for the Laplacian at axisymmetric edges, Numerical analysis of a finite element method to compute the vibration modes of a Reissner-Mindlin laminated plate, The unified transform for mixed boundary condition problems in unbounded domains, Local pointwise a posteriori gradient error bounds for the Stokes equations, On solution of Lamé equations in axisymmetric domains with conical points, Weighted estimates in 𝐿² for Laplace’s equation on Lipschitz domains, Variational problems in weighted Sobolev spaces on non-smooth domains, Regularity and multigrid analysis for Laplace-type axisymmetric equations, Narrow escape. I, Narrow escape. II: The circular disk, On the nonstationary Maxwell system in domains with edges, Hölder Estimates for Green’s Matrix of the Stokes System in Convex Polyhedra, Boundary Coerciveness and the Neumann Problem for 4th Order Linear Partial Differential Operators, Nonlinear partial differential equations of fourth order under mixed boundary conditions, On weighted fractional integral inequalities, A-priori analysis and the finite element method for a class of degenerate elliptic equations, Elastodynamics in domains with edges, Asymptotic formula for solutions to elliptic equations near the Lipschitz boundary, Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes, A Priori Error Estimates for Finite Element Approximations to Eigenvalues and Eigenfunctions of the Laplace--Beltrami Operator, Shape Differentiability of Lagrangians and Application to Stokes Problem, A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids, A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates, Weighted norm least squares finite element method for Poisson equation in a polyhedral domain, Gradient schemes for linear and non-linear elasticity equations, Boundary value problems and layer potentials on manifolds with cylindrical ends, Analysis of a modified Schrödinger operator in 2D: Regularity, index, and FEM, A Weighted Setting for the Numerical Approximation of the Poisson Problem with Singular Sources, Asymptotics Without Logarithmic Terms for Crack Problems†, Fatou-type theorems and boundary value problems for elliptic systems in the upper half-space, Behavior of Solutions to the Dirichlet Problem for Elliptic Systems in Convex Domains, Fredholm Conditions on Non-compact Manifolds: Theory and Examples, Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements, Finite Element Error Estimates for Normal Derivatives on Boundary Concentrated Meshes, The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary, Feedback Stabilization of a Two-Dimensional Fluid-Structure Interaction System with Mixed Boundary Conditions, Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra, Transmission boundary problems for Dirac operators on Lipschitz domains and applications to Maxwell’s and Helmholtz’s equations, Singular invariant integrals for elastic body with delaminated thin elastic inclusion, Finite element error estimates on the boundary with application to optimal control, A note on the regularity of thermally coupled viscous flows with critical growth in nonsmooth domains, Forty Years of the Crouzeix‐Raviart element, Estimates for second order derivatives of eigenvectors in thin anisotropic plates with variable thickness, On the traction problem for the Lamé system on curvilinear polygons, Hamiltonian eigenvalue symmetry for quadratic operator eigenvalue problems, The Stationary Navier-Stokes System with No-Slip Boundary Condition on Polygons: Corner Singularity and Regularity, Uniqueness for Two-Dimensional Incompressible Ideal Flow on Singular Domains, Improving the rate of convergence of `high order finite elements' on polygons and domains with cusps, ESTIMATES OF GREEN'S FUNCTION FOR SECOND‐ORDER PARABOLIC EQUATIONS NEAR EDGES, Fine singularity analysis of solutions to the Laplace equation, Resolvents of Elliptic Boundary Problems on Conic Manifolds, Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains, Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D, The coefficients in the asymptotic expansion of solutions of second‐order hyperbolic problems in polygonal domains, Spectrum of the Dirichlet Laplacian in a thin cubic lattice, The \(\mathrm{CMO}\)-Dirichlet problem for elliptic systems in the upper half-space, On the nonstationary Stokes system in a cone, Maxwell's equations with hypersingularities at a conical plasmonic tip, Solutions for quasilinear nonsmooth evolution systems in \(L^p\), Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners, Analysis on singular spaces: Lie manifolds and operator algebras, Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments, The qualitative analysis of solution of the Stokes and Navier-Stokes system in non-smooth domains with weighted Sobolev spaces, Tensor rank bounds for point singularities in \(\mathbb{R}^3\), Discontinuous Galerkin methods for acoustic wave propagation in polygons, Sobolev spaces and \(\nabla\)-differential operators on manifolds. I: Basic properties and weighted spaces, Double layer potentials on polygons and pseudodifferential operators on Lie groupoids, Seventy five (thousand) unsolved problems in analysis and partial differential equations, Detecting hyperbolic and definite matrix polynomials, Well-posedness and regularity for the elasticity equation with mixed boundary conditions on polyhedral domains and domains with cracks, Singularities of a compressible Stokes system in a domain with concave edge in \(\mathbb R^{3}\), Boundary layer analysis of nonlinear reaction-diffusion equations in a polygonal domain, Eigenvibrations of a beam with elastically attached load, Extrapolation on function and modular spaces, and applications, The evolution compressible Navier-Stokes system on polygonal domains, Conormal derivative problems for stationary Stokes system in Sobolev spaces, Axisymmetric Stokes equations in polygonal domains: regularity and finite element approximations, Multigrid methods for saddle point problems: Oseen system, Regularity estimates and optimal finite element methods in \(W_p^1\) on polygonal domains, The inhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO, Numerical analysis of stress singularity at singular points of three-dimensional elastic bodies, Regularity of solutions for the Navier-Stokes system of incompressible flows on a polygon, Elliptic boundary problems on manifolds with polycylindrical ends, Singularities at the contact point of two kissing Neumann balls, Some properties of strong solutions to nonlinear heat and moisture transport in multi-layer porous structures, Regularity for eigenfunctions of Schrödinger operators, Boundary characteristic point regularity for semilinear reaction-diffusion equations: towards an ODE criterion, Eigenvibrations of a beam with load, Quadrature finite element method for elliptic eigenvalue problems, The two dimensional Euler equations on singular exterior domains, Invertibility properties of singular integral operators associated with the Lamé and Stokes systems on infinite sectors in two dimensions, Shape control of thin rigid inclusions and cracks in elastic bodies, Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain, Hinged and supported plates with corners, For the vorticity-velocity-pressure form of the Navier-Stokes equations on a bounded plane domain with corners, On the asymptotic formulas of solutions to the boundary value problem without initial condition for Schrödinger systems in domain with conical points, Polyharmonic capacity and Wiener test of higher order, For the stationary compressible viscous Navier-Stokes equations with no-slip condition on a convex polygon, On the nonstationary Stokes system in a cone \((L_p\) theory), Finite element analysis for the axisymmetric Laplace operator on polygonal domains, Stability of contact lines in fluids: 2D Stokes flow, Estimates for kernels of inverse operators of integral equations of elasticity on surfaces with conic points, Single and double layer potentials on domains with conical points. I: Straight cones, Boundary characteristic point regularity for Navier-Stokes equations: blow-up scaling and petrovskii-type criterion (a formal approach), On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points., Corner singularities and regularity results for the Reissner/Mindlin plate model, Mixed impedance boundary value problems for the Laplace-Beltrami equation, Multigrid methods for saddle point problems: Stokes and Lamé systems, \(L^p\) solvability of the stationary Stokes problem in domains with conical singularity in any dimension, From the Hu-Washizu formulation to the average nodal strain formulation, Asymptotics for spectral problems with rapidly alternating boundary conditions on a strainer Winkler foundation, A posteriori error estimation of hierarchical type for the Schrödinger operator with inverse square potential, Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks, Criterion for the Sobolev well-posedness of the Dirichlet problem for the Poisson equation in Lipschitz domains. I, Asymptotics of solutions of second order parabolic equations near conical points and edges, A finite element method for singular solutions of the Navier-Stokes equations on a non-convex polygon, Energy release rate for non-smooth cracks in planar elasticity, Regularity of solutions of initial-boundary value problems for parabolic equations in domains with conical points, Adaptively weighted least squares finite element methods for partial differential equations with singularities, A nonconforming finite element method for an acoustic fluid-structure interaction problem, Optimal quadrilateral finite elements on polygonal domains, Finite element approximation of the minimal eigenvalue of a nonlinear eigenvalue problem, Singularities of the quad curl problem, Boundary control of small solutions to fluid-structure interactions arising in coupling of elasticity with Navier-Stokes equation under mixed boundary conditions, Linear oscillations of thin plates with corners and cracks, A rigidity result for global Mumford-Shah minimizers in dimension three, Lowest-order weak Galerkin finite element methods for linear elasticity on rectangular and brick meshes, Power-law solutions of anisotropic multi-material elasticity problems, Mesh grading in isogeometric analysis, A numerical solution for the inhomogeneous Dirichlet boundary value problem on a non-convex polygon, Best possible estimates of solutions to the Robin boundary value problem for linear elliptic nondivergence second-order equations in a neighborhood of the conical point, The Poisson equation in axisymmetric domains with conical points, The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients, A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates, Energy on spheres and discreteness of minimizing measures, Compressible Navier-Stokes equations in a polyhedral cylinder with inflow boundary condition, \(p\)- and \(hp\)-virtual elements for the Stokes problem, Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization, Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation, Modeling of fluid flow in a flexible vessel with elastic walls, On the nonstationary Stokes system in a cone: asymptotics of solutions at infinity, Finite element approximation of the minimal eigenvalue and the corresponding positive eigenfunction of a nonlinear Sturm-Liouville problem, Error of the finite element approximation for a differential eigenvalue problem with nonlinear dependence on the spectral parameter, On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains, The Euler equations in planar domains with corners, On the Navier-Stokes flows for heat-conducting fluids with mixed boundary conditions, Weighted Sobolev spaces and regularity for polyhedral domains, On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach, Mixed boundary value problems for the stationary Navier-Stokes system in polyhedral domains, Approximation of positive semidefinite nonlinear eigenvalue problems, A new stabilization technique for the nonconforming Crouzeix-Raviart element applied to linear elasticity, Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. I: The case without boundary-layer-in-time, Steady flows of Jeffrey-Hamel type from the half-plane into an infinite channel. I: Linearization on an antisymmetric solution., On the local in time well-posedness of an elliptic-parabolic ferroelectric phase-field model, Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures, A posteriori eigenvalue error estimation for a Schrödinger operator with inverse square potential