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arXiv · 1511.05378

A solution decomposition for a singularly perturbed fourth-order problem

Sebastian Franz·Katharina Höhne·Marcus Waurick
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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.

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Sebastian Franz, Katharina Höhne, Marcus Waurick. 2015-11-17. A solution decomposition for a singularly perturbed fourth-order problem. https://arxiv.org/abs/1511.05378

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