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).
Uniqueness, regularity and behavior in time of the solutions to nonlinear anisotropic parabolic equations / Di Blasio, Giuseppina; Porzio, Maria Michaela. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - 25:2(2025). [10.1007/s00028-025-01074-w]
Uniqueness, regularity and behavior in time of the solutions to nonlinear anisotropic parabolic equations
Maria Michaela Porzio
2025
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).File allegati a questo prodotto
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