Existence of solutions to the Poisson equation in Lp-weighted spaces
Joanna Rencławowicz ; Wojciech M. Zajączkowski
Applicationes Mathematicae, Tome 37 (2010), p. 1-12 / Harvested from The Polish Digital Mathematics Library
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We examine the Poisson equation with boundary conditions on a cylinder in a weighted space of Lp, p≥ 3, type. The weight is a positive power of the distance from a distinguished plane. To prove the existence of solutions we use our result on existence in a weighted L₂ space.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:279914 
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     title = {Existence of solutions to the Poisson equation in $L\_p$-weighted spaces},
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     volume = {37},
     year = {2010},
     pages = {1-12},
     zbl = {1188.35053},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-1-1}
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Joanna Rencławowicz; Wojciech M. Zajączkowski. Existence of solutions to the Poisson equation in $L_p$-weighted spaces. Applicationes Mathematicae, Tome 37 (2010) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-1-1/