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arXiv:2201.11977 [math.AP]AbstractReferencesReviewsResources

On some new results on anisotropic singular perturbations of second order elliptic operator

David Maltese, Chokri Ogabi

Published 2022-01-28Version 1

In this article, we deal with some problems involving a class of singularly perturbed elliptic operator. We prove the asymptotic preserving of a general Galerkin method associated to a semilinear problem. We use a particular Galerkin approximation to estimate the convergence rate on the whole domain, for the linear problem. Finally, we study the asymptotic behavior of the semigroup generated.

Categories: math.AP
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