On coersitive estimates for solutions to the linear systems of hydrodynamical type
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 104-133
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We prove local and nonlocal coersitive estimates in the spaces of Lebeque, Hölder and Morrey–Campanato for solutions of linear stationary systems of hydrodynamical type. For this purpose the techic proposed by Italian mathematicians for the study of solutions to the equations and systems of elliptic and parabolic types is developed.
@article{ZNSL_2002_288_a5,
author = {O. A. Ladyzhenskaya and T. N. Shilkin},
title = {On coersitive estimates for solutions to the linear systems of hydrodynamical type},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {104--133},
publisher = {mathdoc},
volume = {288},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a5/}
}
TY - JOUR AU - O. A. Ladyzhenskaya AU - T. N. Shilkin TI - On coersitive estimates for solutions to the linear systems of hydrodynamical type JO - Zapiski Nauchnykh Seminarov POMI PY - 2002 SP - 104 EP - 133 VL - 288 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a5/ LA - ru ID - ZNSL_2002_288_a5 ER -
O. A. Ladyzhenskaya; T. N. Shilkin. On coersitive estimates for solutions to the linear systems of hydrodynamical type. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 104-133. http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a5/