Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Tome 271 (2000), pp. 224-275
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V. A. Solonnikov. Initial boundary-value problem for generalized Stokes equations in the half-space. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Tome 271 (2000), pp. 224-275. http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a14/
@article{ZNSL_2000_271_a14,
author = {V. A. Solonnikov},
title = {Initial boundary-value problem for generalized {Stokes} equations in the half-space},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {224--275},
year = {2000},
volume = {271},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a14/}
}
TY - JOUR
AU - V. A. Solonnikov
TI - Initial boundary-value problem for generalized Stokes equations in the half-space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2000
SP - 224
EP - 275
VL - 271
UR - http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a14/
LA - ru
ID - ZNSL_2000_271_a14
ER -
%0 Journal Article
%A V. A. Solonnikov
%T Initial boundary-value problem for generalized Stokes equations in the half-space
%J Zapiski Nauchnykh Seminarov POMI
%D 2000
%P 224-275
%V 271
%U http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a14/
%G ru
%F ZNSL_2000_271_a14
The paper contains construction of the solution of the Cauchy–Dirichlet problem in the half-space $\mathbb R^3_+$ for a family of systems of differential equations containing the Stokes system. For this solution coercive estimates in the Hölder spaces of functions are obtained.
