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Flux condition induced by concentrated reactions

By José María Arrieta Algarra, Ángela Jiménez Casas and Aníbal Rodríguez Bernal

Abstract

We analyze the limit of solutions of an elliptic problem, with zero flux boundary conditions when the reaction terms are concentrated in a neighborhood of the boundary and that shrinks to the boundary as a parameter goes to zero. We prove that this family of solutions converges, in the sup norm, to the solution of an elliptic problem with no reaction terms and with a nonhomogeneous flux condition. This non zero flux condition for the limiting problem comes from the concentrated reactions around the boundary of the domain

Topics: Funciones (Matemáticas)
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
Year: 2005
DOI identifier: 10.1142/9789812702067_0041
OAI identifier: oai:www.ucm.es:17885
Provided by: EPrints Complutense
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