We examine the Dirichlet problem for the Poisson equation and the heat equation in weighted spaces of Kondrat'ev's type on a dihedral domain. The weight is a power of the distance from a distinguished axis and it depends on the order of the derivative. We also prove a priori estimates.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-13,
author = {Adam Kubica},
title = {The Dirichlet problem in weighted spaces on a dihedral domain},
journal = {Banach Center Publications},
volume = {86},
year = {2009},
pages = {207-222},
zbl = {1167.35333},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-13}
}
Adam Kubica. The Dirichlet problem in weighted spaces on a dihedral domain. Banach Center Publications, Tome 86 (2009) pp. 207-222. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-13/