A solution decomposition for a singularly perturbed fourth-order problem
Analysis of PDEs
2015-11-18 v1 Functional Analysis
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.
Cite
@article{arxiv.1511.05378,
title = {A solution decomposition for a singularly perturbed fourth-order problem},
author = {Sebastian Franz and Katharina Höhne and Marcus Waurick},
journal= {arXiv preprint arXiv:1511.05378},
year = {2015}
}
Comments
22 pages, 1 figure