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

页码：639 / 667

页数：29

共 35 条

[1] ON THE Lp - THEORY OF ANISOTROPIC SINGULAR PERTURBATIONS OF ELLIPTIC PROBLEMS
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[8] On some anisotropic, nonlocal, parabolic singular perturbations problems
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[9] Spectral analysis of a family of second-order elliptic operators with nonlocal boundary condition indexed by a probability measure
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[10] On the numerical solution of a singular second-order thermoelastic system
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