ON SOME NEW RESULTS ON ANISOTROPIC SINGULAR PERTURBATIONS OF SECOND-ORDER ELLIPTIC OPERATORS
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Maltese, David
[1
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Ogabi, Chokri
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Univ Paris Est Creteil, Univ Gustave Eiffel, LAMA, CNRS, F-77454 Marne la Vallee, FranceUniv Paris Est Creteil, Univ Gustave Eiffel, LAMA, CNRS, F-77454 Marne la Vallee, France
Ogabi, Chokri
[1
]
机构:
[1] Univ Paris Est Creteil, Univ Gustave Eiffel, LAMA, CNRS, F-77454 Marne la Vallee, France
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.