ON SOME NEW RESULTS ON ANISOTROPIC SINGULAR PERTURBATIONS OF SECOND-ORDER ELLIPTIC OPERATORS

被引:1
|
作者
Maltese, David [1 ]
Ogabi, Chokri [1 ]
机构
[1] Univ Paris Est Creteil, Univ Gustave Eiffel, LAMA, CNRS, F-77454 Marne la Vallee, France
关键词
Anisotropic singular perturbations; elliptic problems; rate of conver-gence; second-order elliptic operator; perturbed semigroups;
D O I
10.3934/cpaa.2023004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we deal with some problems involving a class of singularly perturbed elliptic operators. We prove the asymptotic preserving of a general Galerkin method associated to a semilinear problem. We use a par-ticular Galerkin approximation to estimate the convergence rate on the whole domain, for the linear problem. Finally, we study the asymptotic behaviour of the semigroup generated.
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页码:639 / 667
页数:29
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