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arXiv 2015-11-17 0 views

A solution decomposition for a singularly perturbed fourth-order problem

Franz, Sebastian · Höhne, Katharina · Waurick, Marcus

Original · EN

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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