Existence of solutions to the Poisson equation in L₂-weighted spaces
Joanna Rencławowicz ; Wojciech M. Zajączkowski
Applicationes Mathematicae, Tome 37 (2010), p. 309-323 / Harvested from The Polish Digital Mathematics Library
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We consider the Poisson equation with the Dirichlet and the Neumann boundary conditions in weighted Sobolev spaces. The weight is a positive power of the distance to a distinguished plane. We prove the existence of solutions in a suitably defined weighted space.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:279889 
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     title = {Existence of solutions to the Poisson equation in L2-weighted spaces},
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     year = {2010},
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     zbl = {1205.35050},
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Joanna Rencławowicz; Wojciech M. Zajączkowski. Existence of solutions to the Poisson equation in L₂-weighted spaces. Applicationes Mathematicae, Tome 37 (2010) pp. 309-323. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-3-3/