Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary | Zendy

José M. Arrieta | Zendy; Ángela JiménezCasas | Zendy; Anı́bal Rodriguez-Bernal | Zendy

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Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary

Author(s) -

José M. Arrieta,

Ángela JiménezCasas,

Anı́bal Rodriguez-Bernal

Publication year - 2008

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/533

Subject(s) - limit (mathematics) , boundary (topology) , flux (metallurgy) , robin boundary condition , boundary value problem , mechanics , physics , mathematical analysis , mathematics , mixed boundary condition , chemistry , organic chemistry

We analyze the limit of the solutions of an elliptic problem when some reaction and potential terms are concentrated in a neighborhood of a portion Gamma of the boundary and this neighborhood shrinks to Gamma as a parameter goes to zero.\udWe prove that this family of solutions converges in certain Sobolev spaces and also in the sup norm, to the solution of an elliptic problem where the reaction term and the concentrating potential are transformed into a flux condition and a potential on Gamma

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