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/