New regularity results for a generic model equation in exterior 3D domains

Stanislav Kračmar, and Patrick Penel. "New regularity results for a generic model equation in exterior 3D domains." Banach Center Publications 70.1 (2005): 139-155. <http://eudml.org/doc/282410>.

@article{StanislavKračmar2005,
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 [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.},
author = {Stanislav Kračmar, Patrick Penel},
journal = {Banach Center Publications},
keywords = {Oseen equations; regularity; weak solution; weighted Sobolev spaces},
language = {eng},
number = {1},
pages = {139-155},
title = {New regularity results for a generic model equation in exterior 3D domains},
url = {http://eudml.org/doc/282410},
volume = {70},
year = {2005},
}

TY - JOUR
AU - Stanislav Kračmar
AU - Patrick Penel
TI - New regularity results for a generic model equation in exterior 3D domains
JO - Banach Center Publications
PY - 2005
VL - 70
IS - 1
SP - 139
EP - 155
AB - 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.
LA - eng
KW - Oseen equations; regularity; weak solution; weighted Sobolev spaces
UR - http://eudml.org/doc/282410
ER -