Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains

Abstract

We consider the model Dirichlet problem for Poisson’s equation on a plane polygonal convex domain W with data f in a space smoother than L2. The regularity and the critical case of the problem depend on the measure of the maximum angle of the domain. Interpolation theory and multilevel theory are used to obtain estimates for the critical case. As a… (More)
DOI: 10.1515/156939503766614117

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Cite this paper

@article{Bacuta2003RegularityEF, title={Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains}, author={Constantin Bacuta and James H. Bramble and Jinchao Xu}, journal={J. Num. Math.}, year={2003}, volume={11}, pages={75-94} }