On the limit regularity in Sobolev and Besov scales related to approximation theory

DOI10.1007/s00041-019-09707-8zbMath1432.35034arXiv1904.04521OpenAlexW2999575390WikidataQ126346658 ScholiaQ126346658MaRDI QIDQ2291549

Petru A. Cioica-Licht, Markus Weimar

Publication date: 31 January 2020

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

Full work available at URL: https://arxiv.org/abs/1904.04521

zbMATH Keywords

Besov spaceadaptive methodsPoisson equationnonlinear approximationTriebel-Lizorkin space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Structure theory of linear operators (47A65) Rate of convergence, degree of approximation (41A25) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

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 ⋮ Rate-optimal sparse approximation of compact break-of-scale embeddings ⋮ On the lack of interior regularity of the p‐Poisson problem with p>2 ⋮ Higher Order Regularity Shifts for the p-Poisson Problem

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