Gradient estimates for divergence form parabolic systems from composite materials
type: Item
instance of: scholarly article
title: Gradient estimates for divergence form parabolic systems from composite materials
zbMATH Open document ID: 1465.35076
author: Hongjie Dong
author: Longjuan Xu
published in: Calculus of Variations and Partial Differential Equations
publication date: 2021-05-06T00:00:00Z
review text: The main results, that are gradient estimates and piecewise \(C^{\frac{1}{2}, 1}\)-regularity, are proved under the assumptions that the leading coefficients and data are of piecewise Dini mean oscillation. Moreover, the authors devote the study to a global weak type-\((1, 1)\) estimate with respect to \(A_1\) Muckenhoupt weights for solutions to suitable parabolic systems. In the ``Appendix'', the authors prove a weighted \(H^1_{p,\omega}\)-solvability and estimate for divergence form parabolic systems in nonsmooth domains with coefficients belonging to the Sarason class of vanishing mean oscillation (VMO) functions.
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 35R05
zbMATH DE Number: 7344746
zbMATH Keywords: parabolic transmission problems
reviewed by: Maria Alessandra Ragusa
MaRDI profile type: Publication
full work available at URL: s00526-021-01927-5
OpenAlex ID: W3159947958
Wikidata QID: Q115386792
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DOI: 10.1007/S00526-021-01927-5
description: scientific article; zbMATH DE number 7344746