On the study of some quasilinear non-coercive p(·)-parabolic problem with L1-data

In this paper, we consider the following quasilinear and non-coercive p(?)-parabolic problem: {?u/?t -div a(x, t, u, ?u)= f(x,t) -div F(x, t, u) in QT, u= 0 on ?T, u(x,0)=u0 in ?, with ? ? L1 (QT) and u0 ? L1 (?). We study the existence of entropy solutions for this problem in the parabolic Sobolev space with variable exponent V.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2511569f
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

On the study of some quasilinear non-coercive p(·)-parabolic problem with L1-data

Filomat
Geochemistry and Geologic Mapping
article

On the study of some quasilinear non-coercive p(·)-parabolic problem with L1-data

article en

Abstract

In this paper, we consider the following quasilinear and non-coercive p(?)-parabolic problem: {?u/?t -div a(x, t, u, ?u)= f(x,t) -div F(x, t, u) in QT, u= 0 on ?T, u(x,0)=u0 in ?, with ? ? L1 (QT) and u0 ? L1 (?). We study the existence of entropy solutions for this problem in the parabolic Sobolev space with variable exponent V.

FilomatVol. 39(11)
Abdelmalek Essaâdi University (MA)
Openalex Percentile: Top 71%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
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On the study of some quasilinear non-coercive p(·)-parabolic problem with L1-data · Filomat (2025) | TGRS Research Map | TGRS