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On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion
Author(s) -
Shibata Yoshihiro,
Tanaka Koumei
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.518
Subject(s) - resolvent , mathematics , compressibility , bounded function , mathematical analysis , motion (physics) , compressible flow , operator (biology) , boundary value problem , dirichlet boundary condition , zero (linguistics) , classical mechanics , physics , mechanics , biochemistry , chemistry , linguistics , philosophy , repressor , transcription factor , gene
The linearized initial boundary value problem describing the motion of the viscous compressible fluid is studied under Dirichlet zero condition in bounded and unbounded domains. The resolvent estimate for the corresponding operator is proved in the L p framework and the sharp inner estimate of the resolvent set is obtained. Copyright © 2004 John Wiley Sons, Ltd.