Uniqueness, regularity and behaviour in time of the solutions to nonlinear anisotropic parabolic equations

di Blasio Giuseppina; Maria Michaela Porzio

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arXiv · 2405.13410

Uniqueness, regularity and behaviour in time of the solutions to nonlinear anisotropic parabolic equations

di Blasio Giuseppina·Maria Michaela Porzio

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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).

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di Blasio Giuseppina, Maria Michaela Porzio. 2024-05-22. Uniqueness, regularity and behaviour in time of the solutions to nonlinear anisotropic parabolic equations. https://arxiv.org/abs/2405.13410

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