We examine the regularity of solutions of a certain parabolic system in the weighted Sobolev space , where the weight is of the form , r is the distance from a distinguished axis and μ ∈ (0,1).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am34-2-3, author = {Adam Kubica and Wojciech M. Zaj\k aczkowski}, title = {A parabolic system in a weighted Sobolev space}, journal = {Applicationes Mathematicae}, volume = {34}, year = {2007}, pages = {169-191}, zbl = {1117.35314}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-2-3} }
Adam Kubica; Wojciech M. Zajączkowski. A parabolic system in a weighted Sobolev space. Applicationes Mathematicae, Tome 34 (2007) pp. 169-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-2-3/