Besov regularity of parabolic and hyperbolic PDEs

DOI10.1142/S0219530518500306zbMath1420.35055arXiv1811.09428WikidataQ114072428 ScholiaQ114072428MaRDI QIDQ5382493

Cornelia Schneider, Stephan Dahlke

Publication date: 17 June 2019

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

Full work available at URL: https://arxiv.org/abs/1811.09428

zbMATH Keywords

Besov spacesadaptive algorithmsnonsmooth domainsKondratiev spacesnonlinear approximation schemes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

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 ⋮ Besov estimates for weak solutions of a class of quasilinear parabolic equations with general growth ⋮ Besov regularity of inhomogeneous parabolic PDEs ⋮ Besov regularity of parabolic and hyperbolic PDEs ⋮ Besov estimates for weak solutions of the parabolic \(p\)-Laplacian equations ⋮ Besov regularity estimates for the elliptic \(p(x)\)-Laplacian equation with the logarithmic growth ⋮ Describing the singular behaviour of parabolic equations on cones in fractional Sobolev spaces ⋮ Besov estimates for the weak solutions of a class of quasilinear elliptic equations

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