On the retention of the interfaces in some elliptic and parabolic nonlinear problems | Zendy

Luis Álvarez | Zendy; Jesús Ildefonso Díaz Díaz | Zendy

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On the retention of the interfaces in some elliptic and parabolic nonlinear problems

Author(s) -

Luis Álvarez,

Jesús Ildefonso Díaz Díaz

Publication year - 2009

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2009.25.1

Subject(s) - parabolic partial differential equation , limit (mathematics) , nonlinear system , elliptic partial differential equation , mathematical analysis , mathematics , order (exchange) , diffusion , partial differential equation , physics , thermodynamics , finance , quantum mechanics , economics

We study some retention phenomena on the free boundaries associated to some elliptic and parabolic problems of reaction-diffusion type. This is the case, for instance, of the wait in g time phenomenon for solutions of suitable parabolic equations. We find sufficient conditions in order to have a discrete version of the waiting time property (the so called nondiffusion of the support) for solutions of the associated family of elliptic equations and prove how to pass to the limit in order to get this property for the solutions of the parabolic equation.\u

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