We prove a priori estimates for solutions of the Poisson and heat equations in weighted spaces of Kondrat'ev type. The weight is a power of the distance from a distinguished axis.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am34-4-6,
author = {Adam Kubica and Wojciech M. Zaj\k aczkowski},
title = {A priori estimates in weighted spaces for solutions of the Poisson and heat equations},
journal = {Applicationes Mathematicae},
volume = {34},
year = {2007},
pages = {431-444},
zbl = {1135.35324},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-4-6}
}
Adam Kubica; Wojciech M. Zajączkowski. A priori estimates in weighted spaces for solutions of the Poisson and heat equations. Applicationes Mathematicae, Tome 34 (2007) pp. 431-444. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-4-6/