Uniqueness, regularity and behavior in time of the solutions to nonlinear anisotropic parabolic equations
Giuseppina di Blasio, Maria Michaela Porzio · Journal of Evolution Equations · 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 $$f(x,t)=f(x)$$ f ( x , t ) = f ( x ) .