The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)
Adam Kubica
Applicationes Mathematicae, Tome 31 (2004), p. 443-456 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:278903 
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     author = {Adam Kubica},
     title = {The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)},
     journal = {Applicationes Mathematicae},
     volume = {31},
     year = {2004},
     pages = {443-456},
     zbl = {1125.35031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-4-6}
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Adam Kubica. The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I). Applicationes Mathematicae, Tome 31 (2004) pp. 443-456. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-4-6/