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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2002 Volume 288, Pages 104–133 (Mi znsl1586)

This article is cited in 8 papers

On coersitive estimates for solutions to the linear systems of hydrodynamical type

O. A. Ladyzhenskaya, T. N. Shilkin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: 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.

UDC: 517.9

Received: 21.04.2002


 English version:
Journal of Mathematical Sciences (New York), 2004, 123:6, 4580–4596

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