On a generalized Stokes problem

Václav Mácha

Open Mathematics (2011)

  • Volume: 9, Issue: 4, page 874-887
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Václav 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 -

References

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