Weighted analytic regularity in polyhedra


We explain a simple strategy to establish analytic regularity for solutions of second order linear elliptic boundary value problems. The abstract framework presented here helps to understand the proof of analytic regularity in polyhedral domains given in the authors’ paper in Math. Models Methods Appl. Sci. 22 (8) (2012). We illustrate this strategy by considering problems set in smooth domains, in corner domains and in polyhedra.

DOI: 10.1016/j.camwa.2013.03.006

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@article{Costabel2014WeightedAR, title={Weighted analytic regularity in polyhedra}, author={Martin Costabel and Monique Dauge and Serge Nicaise}, journal={Computers & Mathematics with Applications}, year={2014}, volume={67}, pages={807-817} }