Special Session 88: 
On the regularity and time behavior of the solutions of some parabolic PDE`s
Maria Michaela M Porzio
Department of Mathematics of Sapienza University of Rome
Italy
Co-Author(s):    
Abstract:
We will show some estimates and qualitative properties of a class of nonlinear parabolic equations appearing in many physical applications being a nonlinear version of the heat equation. We will describe the regularity properties and the behavior in time of the solutions with special attention to the autonomous case when the influence of the solutions to suitable elliptic problems appears.
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