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
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2022年
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.
引用
收藏
页码：639 / 667
页数：29
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