A solution decomposition for a singularly perturbed fourth-order problem
arXiv:1511.05378
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.
22 pages, 1 figure