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

Stanislav Kračmar; Patrick Penel

Banach Center Publications (2005)

- Volume: 70, Issue: 1, page 139-155
- ISSN: 0137-6934

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topStanislav 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 -

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