Mathematica Bohemica, Vol. 148, No. 4, pp. 561-581, 2023


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

Rabah Mecheter, Fares Mokhtari

Received October 3, 2021.   Published online December 6, 2022.

Abstract:  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 $L^1$.
Keywords:  singular equation; nonlinear parabolic equation; degenerate coercivity
Classification MSC:  35K55, 35K65, 35K67

PDF available at:  Institute of Mathematics CAS

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Affiliations:   Rabah Mecheter (corresponding author), Department of Mathematics and Informatics, University of M'sila, 28000 M'sila, Algeria, e-mail: rabah.mecheter@univ-msila.dz; Fares Mokhtari, Algiers University, Faculty of Sciences, Department of Mathematics, 2 Rue Didouche Mourad, Algiers, Algeria, e-mail: f.mokhtari@univ-alger.dz


 
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