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 [10]. 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-9,
author = {Stanislav Kra\v cmar and Patrick Penel},
title = {New regularity results for a generic model equation in exterior 3D domains},
journal = {Banach Center Publications},
volume = {68},
year = {2005},
pages = {139-155},
zbl = {1101.35350},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-9}
}
Stanislav Kračmar; Patrick Penel. New regularity results for a generic model equation in exterior 3D domains. Banach Center Publications, Tome 68 (2005) pp. 139-155. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-9/