A parabolic system in a weighted Sobolev space
Volume 34 / 2007
Applicationes Mathematicae 34 (2007), 169-191
MSC: 35B65, 35K50.
DOI: 10.4064/am34-2-3
Abstract
We examine the regularity of solutions of a certain parabolic system in the weighted Sobolev space $W^{2,1}_{2,\mu }$, where the weight is of the form $r^{\mu }$, $r$ is the distance from a distinguished axis and $\mu \in (0,1)$.