On a generalized Stokes problem
Open Mathematics (2011)
- Volume: 9, Issue: 4, page 874-887
- ISSN: 2391-5455
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topVáclav Mácha. "On a generalized Stokes problem." Open Mathematics 9.4 (2011): 874-887. <http://eudml.org/doc/269128>.
@article{VáclavMácha2011,
abstract = {We deal with a generalization of the Stokes system. Instead of the Laplace operator, we consider a general elliptic operator and a pressure gradient with small perturbations. We investigate the existence and uniqueness of a solution as well its regularity properties. Two types of regularity are provided. Aside from the classical Hilbert regularity, we also prove the Hölder regularity for coefficients in VMO space.},
author = {Václav Mácha},
journal = {Open Mathematics},
keywords = {Stokes problem; Higher differentiability; Hölder regularity; higher differentiability; coefficients in VMO space},
language = {eng},
number = {4},
pages = {874-887},
title = {On a generalized Stokes problem},
url = {http://eudml.org/doc/269128},
volume = {9},
year = {2011},
}
TY - JOUR
AU - Václav Mácha
TI - On a generalized Stokes problem
JO - Open Mathematics
PY - 2011
VL - 9
IS - 4
SP - 874
EP - 887
AB - We deal with a generalization of the Stokes system. Instead of the Laplace operator, we consider a general elliptic operator and a pressure gradient with small perturbations. We investigate the existence and uniqueness of a solution as well its regularity properties. Two types of regularity are provided. Aside from the classical Hilbert regularity, we also prove the Hölder regularity for coefficients in VMO space.
LA - eng
KW - Stokes problem; Higher differentiability; Hölder regularity; higher differentiability; coefficients in VMO space
UR - http://eudml.org/doc/269128
ER -
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