A solution decomposition for a singularly perturbed fourth-order problem

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.

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• Item metadata

  Item type:	Article
  ID code:	61641
  Dates:	Date Event 1 June 2017 Published 30 May 2017 Published Online 17 April 2017 Accepted
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	25 Aug 2017 15:39
  Last modified:	08 Apr 2024 23:31
  Related URLs:	Journal or Publication https://arxiv.org/pdf/1511.05378.pdf
  URI:	https://strathprints.strath.ac.uk/id/eprint/61641