An elliptic singularly perturbed problem with two parameters I: Solution decomposition |
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| Authors: | Lj Teofanov H-G Roos |
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| Institution: | 1. Department for Fundamental Disciplines, Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovi?a 6, 21000 Novi Sad, Serbia;2. Institute of Numerical Mathematics, Technical University of Dresden, Dresden D-01062, Germany |
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| Abstract: | 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. |
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| Keywords: | 35J25 76R99 |
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