Local and global boundedness for some nonlinear parabolic equations exhibiting a time singularity.
type: Item
instance of: scholarly article
title: Local and global boundedness for some nonlinear parabolic equations exhibiting a time singularity.
zbMATH Open document ID: 1374.35096
author: Eurica Henriques
author: Rojbin Laleoglu
published in: Differential and Integral Equations
publication date: 2017-01-13T00:00:00Z
review text: In this paper the Authors consider doubly nonlinear operators in measure spaces equipped with a doubling non-trivial Borel measure supporting a weak Poincaré inequality. They prove local and global boundness of non-negative weak solutions giving a complete and definitive answer to this problem. The result is based on suitable energy estimates and depends on the dimension of the Borel measure.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K67
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 6674872
zbMATH Keywords: doubly nonlinear operators
zbMATH Keywords: local boundness
zbMATH Keywords: measure space
zbMATH Keywords: energy estimates
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6674872