A solution decomposition for a singularly perturbed fourth-order problem

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Höhne, Katharina and Franz, Sebastian and Waurick, Marcus (2017) A solution decomposition for a singularly perturbed fourth-order problem. Analysis, 37 (2). pp. 77-100. ISSN 2196-6153 (https://doi.org/10.1515/anly-2016-0026)

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Abstract

We consider a singularly perturbed fourth-order problem with third-order terms on the unit square. With a formal power series approach, we decompose the solution into solutions of reduced (third-order) problems and various layer parts. The existence of unique solutions for the problem itself and for the reduced third-order problems is also addressed. To our knowledge, this paper is a first attempt for a solution decomposition of such problems.

ORCID iDs

Höhne, Katharina, Franz, Sebastian and Waurick, Marcus ORCID logoORCID: https://orcid.org/0000-0003-4498-3574;
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