Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values

DOI10.1142/S0219530522500026zbMath1494.35057arXiv2102.09934OpenAlexW3132191112MaRDI QIDQ5089729

Cornelia Schneider, Unnamed Author

Publication date: 15 July 2022

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.09934

zbMATH Keywords

weighted Sobolev spacesadaptive methodsBesov spacesPoisson equationelliptic boundary value problemspolyhedral conemixed weights

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Besov regularity of inhomogeneous parabolic PDEs ⋮ Geometric transformation of finite element methods: theory and applications

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