Uniqueness, regularity and behaviour in time of the solutions to nonlinear anisotropic parabolic equations
Analysis of PDEs
2024-05-24 v1
Abstract
In this paper we study a class of nonlinear anisotropic parabolic problems in bounded domains. In detail, we study the influences of the initial data and the forcing term f on the behavior of the solutions. We prove existence and uniqueness results. We indagate on the behavior in time of the solutions with a particular attention to the autonomous case f(x, t) = f(x).
Keywords
Cite
@article{arxiv.2405.13410,
title = {Uniqueness, regularity and behaviour in time of the solutions to nonlinear anisotropic parabolic equations},
author = {di Blasio Giuseppina and Maria Michaela Porzio},
journal= {arXiv preprint arXiv:2405.13410},
year = {2024}
}