Parabolic mean values and maximal estimates for gradients of temperatures

DOI10.1016/j.jfa.2008.06.006zbMath1171.35020OpenAlexW1990193396MaRDI QIDQ960562

Bibiana Iaffei, Ivana Gómez, Hugo Aimar

Publication date: 22 December 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://cimec.org.ar/ojs/index.php/cmm/article/view/2385

zbMATH Keywords

maximal operatorsmean value formulacaloric mean value kernel

Mathematics Subject Classification ID

Heat equation (35K05) A priori estimates in context of PDEs (35B45)

Related Items (8)

Asymptotic mean value formulas for parabolic nonlinear equations ⋮ Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type ⋮ Besov regularity of inhomogeneous parabolic PDEs ⋮ On Besov regularity of temperatures ⋮ Parabolic Besov regularity for the heat equation ⋮ Besov regularity of parabolic and hyperbolic PDEs ⋮ Measuring the level sets of anisotropic homogeneous functions ⋮ New properties of complex functions with mean value conditions

Cites Work

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• The inhomogeneous Dirichlet problem in Lipschitz domains
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• Sobolev type inequalities for p>0
• Besov regularity for elliptic boundary value problems
• New Proofs of Weighted Inequalities for the One-Sided Hardy-Littlewood Maximal Functions
• Mean value densities for temperatures
• A Mean Value Theorem for the Heat Equation
• A Theory of Subtemperatures in Several Variables

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