On the Time Periodic Free Boundary Associated to Some Nonlinear Parabolic EquationsReport as inadecuate




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Boundary Value Problems

, 2010:147301

Degenerate and Singular Differential Operators with Applications to Boundary Value Problems

Abstract

We give sufficient conditions, being also necessary in many cases, for the existence of a periodic free boundary generated as the boundary of the support of the periodic solution of a general class of nonlinear parabolic equations. We show some qualitative properties of this free boundary. In some cases it may have some vertical shape linking the free boundaries of two stationary solutions, and, under the assumption of a strong absorption, it may have several periodic connected components.

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Author: M Badii - JI Díaz

Source: https://link.springer.com/







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