We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am32-1-2,
author = {Adam Kubica},
title = {The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part II)},
journal = {Applicationes Mathematicae},
volume = {32},
year = {2005},
pages = {17-36},
zbl = {1179.35061},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am32-1-2}
}
Adam Kubica. The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part II). Applicationes Mathematicae, Tome 32 (2005) pp. 17-36. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am32-1-2/