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Higher order gamma-limits for singularly perturbed Dirichlet-Neumann problems

Publication at Faculty of Mathematics and Physics |
2019

Abstract

A mixed Dirichlet-Neumann problem is regularized with a family of singularly perturbed Neumann-Robin boundary problems, parametrized by ε > 0. Using an asymptotic development by Gamma-convergence, the asymptotic behavior of the solutions to the perturbed problems is studied as ε RIGHTWARDS ARROW 0+, recovering classical results in the literature.