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

2018/10/04 by Giovanni Gravina, Gravina, Giovanni, Giovanni Leoni +1 · 1 citation
Computer Science · Mathematics · #35B25 #35J25 #49J45 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1810.02306

openalex publication_date 2018/10/04 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

Abstract

A mixed Dirichlet-Neumann problem is regularized with a family of singularly\nperturbed Neumann-Robin boundary problems, parametrized by \ε > 0.\nUsing an asymptotic development by Gamma-convergence, the asymptotic behavior\nof the solutions to the perturbed problems is studied as \ε \→ 0⁺,\nrecovering classical results in the literature.\n

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