Publication: Flux condition induced by concentrated reactions
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2005
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WORLD SCIENTIFIC PUBL CO PTE LTD
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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.
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International Conference on Differential Equations. Hasselt, BELGIUM. JUL 22-26, 2003.
Sponsor(s): European Sci Fdn; Nederlandse Org Wetenschappelijk; Fond Wetenschappelijk Onderziek Vlaa bderen; Fond Natl Rech Sci; Math Res Inst; Univ Gent, Simon Stevin Fonds; Wetenschappelijk Onderzoeksgemeens Wisk; MinistCommun Francaise; Thomas Stieltjes Inst Math; Fortis Bank