Article
On p-Laplacian reaction–diffusion problems with dynamical boundary conditions in perforated media
Author/s | Anguiano Moreno, María
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Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2023-01-19 |
Deposit Date | 2024-01-22 |
Published in |
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Abstract | We study the effect of the p-Laplacian operator in the modelling of the heat equation through a porous medium
(
). The case of
was recently published in Anguiano (Mediterr J Math 17:18, https://doi.org/10.1007/s00 ... We study the effect of the p-Laplacian operator in the modelling of the heat equation through a porous medium ( ). The case of was recently published in Anguiano (Mediterr J Math 17:18, https://doi.org/10.1007/s00009-019-1459-y, 2020). Using rigorous functional analysis techniques and the properties of Sobolev spaces, we managed to solve additional (nontrivial) difficulties which arise compared to the study for , and we prove a convergence theorem in appropriate functional spaces. |
Citation | Anguiano Moreno, M. (2023). On p-Laplacian reaction–diffusion problems with dynamical boundary conditions in perforated media. Mediterranean Journal of Mathematics, 20, 124. https://doi.org/10.1007/s00009-023-02333-1. |
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