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On the Time Periodic Free Boundary Associated to Some Nonlinear Parabolic Equations

Díaz Díaz, Jesús Ildefonso and Badii, M (2010) On the Time Periodic Free Boundary Associated to Some Nonlinear Parabolic Equations. Boundary value problems . ISSN 1687-2762

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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.


Item Type:Article
Uncontrolled Keywords:diffusion; systems; operators; evolution; obstacle; space
Subjects:Sciences > Mathematics > Differential equations
ID Code:15067
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