Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms

In this paper, we study the existence results for some parabolic equations with degenerate coercivity, singular lower order term depending on the gradient, and positive initial data in $L^1$.

Bibliographic Details
Main Authors: Rabah Mecheter, Fares Mokhtari
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2023-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/148/4/mb148_4_10.pdf
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author Rabah Mecheter
Fares Mokhtari
author_facet Rabah Mecheter
Fares Mokhtari
author_sort Rabah Mecheter
collection DOAJ
description In this paper, we study the existence results for some parabolic equations with degenerate coercivity, singular lower order term depending on the gradient, and positive initial data in $L^1$.
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spelling doaj.art-aaad9f79245a4cc0a67f0c602abc8bd22023-11-21T12:00:13ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362023-12-01148456158110.21136/MB.2022.0152-21MB.2022.0152-21Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order termsRabah MecheterFares MokhtariIn this paper, we study the existence results for some parabolic equations with degenerate coercivity, singular lower order term depending on the gradient, and positive initial data in $L^1$.http://mb.math.cas.cz/full/148/4/mb148_4_10.pdf singular equation nonlinear parabolic equation degenerate coercivity
spellingShingle Rabah Mecheter
Fares Mokhtari
Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms
Mathematica Bohemica
singular equation
nonlinear parabolic equation
degenerate coercivity
title Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms
title_full Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms
title_fullStr Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms
title_full_unstemmed Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms
title_short Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms
title_sort existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower order terms
topic singular equation
nonlinear parabolic equation
degenerate coercivity
url http://mb.math.cas.cz/full/148/4/mb148_4_10.pdf
work_keys_str_mv AT rabahmecheter existenceresultsforsomenonlinearparabolicequationswithdegeneratecoercivityandsingularlowerorderterms
AT faresmokhtari existenceresultsforsomenonlinearparabolicequationswithdegeneratecoercivityandsingularlowerorderterms