# 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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