Gamma convergence of an energy functional related to the fractional Laplacian

2008/05/26 by Maria D. M. Gonzalez, Gonzalez, Maria D. M.
Mathematics · #35J20 #49J45 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J20 #msc:49J45

paper · pdf · doi:10.48550/arxiv.0805.3869

37 pages. See also http://www.ma1.upc.edu/~mgonzalez/

arxiv created 2009/01/10 · arxiv updated 2009/12/01

Abstract

We prove a Gamma-convergence result for an energy functional related to some fractional powers of the Laplacian operator, with two singular perturbations (one in the interior and one on the boundary).

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