Parabolic Besov regularity for the heat equation

DOI10.1007/s00365-012-9166-yzbMath1255.35065OpenAlexW2074145530MaRDI QIDQ443890

Ivana Gómez, Hugo Aimar

Publication date: 13 August 2012

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: http://cimec.org.ar/ojs/index.php/cmm/article/view/3729

zbMATH Keywords

waveletsnonlinear approximationLipschitz cylindrical regions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Heat equation (35K05)

Related Items (10)

Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type ⋮ Anisotropic two-microlocal spaces and regularity ⋮ Besov regularity of inhomogeneous parabolic PDEs ⋮ Besov regularity of parabolic and hyperbolic PDEs ⋮ Criteria of pointwise and uniform directional Lipschitz regularities on tensor products of Schauder functions ⋮ An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems ⋮ Directional multifractal analysis in the \(L^p\) setting ⋮ Multifractal analysis of rectangular pointwise regularity with hyperbolic wavelet bases ⋮ The hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic fields ⋮ Improvement of Besov regularity for solutions of the fractional Laplacian

Cites Work

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• On Besov regularity of temperatures
• A discrete transform and decompositions of distribution spaces
• Parabolic initial boundary value problems in nonsmooth cylinders with data in anisotropic Besov spaces
• Parabolic mean values and maximal estimates for gradients of temperatures
• Besov regularity for elliptic boundary value problems in polygonal domains
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Maximal functions measuring smoothness
• Besov regularity for elliptic boundary value problems
• Nonlinear wavelet approximation in anisotropic besov spaces
• The construction of \(r\)-regular wavelets for arbitrary dilations

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