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  4. Regularity for entropy solutions of degenerate parabolic equations with L^m data

Regularity for entropy solutions of degenerate parabolic equations with L^m data

MMC.
2023;
Volume 10, Number 1
: pp. 119–132
https://doi.org/10.23939/mmc2023.01.119
Received: March 03, 2022
Accepted: November 17, 2022

Mathematical Modeling and Computing, Vol. 10, No. 1, pp. 119–132 (2023)

Authors:
  1. H. Khelifi
1
Department of Mathematics, University of Algiers, Algeria; Laboratory of Mathematical Analysis and Applications, University of Algiers 1, Algiers, Algeria

In this paper, we study the regularity results for entropy solutions of a class of parabolic nonlinear parabolic equations with degenerate coercivity, when  the right-hand side is in $L^{m}$ with $m>1$.

regularity
entropy solutions
degenerate coercivity
L^m data
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