Degenerate parabolic problem with singular lower order term and irregular data

Authors

  • Youcef Ziad D'epartement d'analyse, Universit'e des sciences et de la technologie Houari Boumediene, Bp 32, Bab-Ezzouar, Dar El Beida, Algiers, Algeria.
  • Hichem Kheli Department of Mathematics, University of Algiers, Benyoucef Benkhedda, 2 Rue Didouche Mourad, Algiers, Algeria. e-mail: k.bachouche@univ-alger.dz
  • Kamal Bachouche Laboratory of Mathematical Analysis and Applications, University of Algiers 1, Algiers, Algeria

Abstract

  This paper investigates the existence and regularity of weak solutions for certain parabolic
equations with degenerate coercivity and singular lower order term. The right-hand side is considered in L
m with m ? 1. The variational method is employed to establish the existence of solutions,
accompanied by a discussion of their regularity based on the values of m

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Published

2025-03-01

Issue

Vol. 32 No. 1 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Youcef Ziad, Hichem Kheli, Kamal Bachouche

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Degenerate parabolic problem with singular lower order term and irregular data. (2025). Nonlinear Studies, 32(1), 129-149. https://nonlinearstudies.com/index.php/nonlinear/article/view/3512