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Publication 18-CNA-021

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

Giovanni Gravina
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA, USA
ggravina@andrew.cmu.edu

Giovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
giovanni@andrew.cmu.edu

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 → 0+, recovering classical results in the literature.

Get the paper in its entirety as  18-CNA-021.pdf

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