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Díaz Díaz, Jesús Ildefonso and Badii, M (2010) On the Time Periodic Free Boundary Associated to Some Nonlinear Parabolic Equations. Boundary value problems . ISSN 16872762

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Official URL: http://www.boundaryvalueproblems.com/content/2010/1/147301
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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