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: https://orcid.org/0000-0003-4498-3574;-
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Item type: Article ID code: 61641 Dates: DateEvent1 June 2017Published30 May 2017Published Online17 April 2017AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 25 Aug 2017 15:39 Last modified: 11 Nov 2024 11:44 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/61641
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