An elliptic singularly perturbed problem with two parameters I: Solution decomposition
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摘要
In this paper we consider a singularly perturbed elliptic problem with two small parameters posed on the unit square. Its solution may have exponential, parabolic and corner layers. We give a decomposition of the solution into regular and layer components and derive pointwise bounds on the components and their derivatives. The estimates are obtained by the analysis of appropriate problems on unbounded domains.
论文关键词：35J25,76R99,Singular perturbations,Convection–diffusion problems,Two small parameters,Elliptic partial differential equations
论文评审过程：Received 8 November 2005, Revised 25 September 2006, Available online 1 November 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.09.010
