Numerical analysis of nonlinear parabolic problems with variable exponent and \(L^1\) data

Stanislas Ouaro; Noufou Rabo; Urbain Traoré

doi:10.56754/0719-0646.2402.0187

DOI:

https://doi.org/10.56754/0719-0646.2402.0187

Abstract

In this paper, we make the numerical analysis of the mild solution which is also an entropy solution of parabolic problem involving the \(p(x)-\)Laplacian operator with \(L^1-\) data.

Keywords

elliptic-parabolic , numerical iterative method , variable exponent , mild solution , renormalized solution

Stanislas Ouaro Laboratoire de Mathématiques et Informatique (LAMI), Unité de Formation et de Recherche en Sciences Exactes et Appliquées, Université Joseph KI-ZERBO, 03 BP. 7021 Ouagadougou 03, Burkina Faso.
Noufou Rabo Laboratoire de Mathématiques et Informatique (LAMI), Unité de Formation et de Recherche en Sciences Exactes et Appliquées, Université Joseph KI-ZERBO, 03 BP. 7021 Ouagadougou 03, Burkina Faso.
Urbain Traoré Laboratoire de Mathématiques et Informatique (LAMI), Unité de Formation et de Recherche en Sciences Exactes et Appliquées, Université Joseph KI-ZERBO, 03 BP. 7021 Ouagadougou 03, Burkina Faso.

Pages: 187–209
Date Published: 2022-08-22
Vol. 24 No. 2 (2022)

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