New regularity results for a generic model equation in exterior 3D domains
Volume 70 / 2005
Banach Center Publications 70 (2005), 139-155
MSC: 35B40, 35D10, 35J20.
DOI: 10.4064/bc70-0-9
Abstract
We consider a generic scalar model for the Oseen equations in an exterior three-dimensional domain. We assume the case of a non-constant coefficient function. Using a variational approach we prove new regularity properties of a weak solution whose existence and uniqueness in anisotropically weighted Sobolev spaces were proved in \cite{KrPe}. Because we use some facts and technical tools proved in the above mentioned paper, we give also a brief review of its results and methods.
