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Title: Invariant regions associated with quasilinear damped wave equations (English)
Author: Feireisl, Eduard
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 40
Issue: 4
Year: 1990
Pages: 612-618
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Category: math
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MSC: 35B25
MSC: 35K22
MSC: 35L70
idZBL: Zbl 0757.35043
idMR: MR1084897
DOI: 10.21136/CMJ.1990.102415
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Date available: 2008-06-09T15:35:28Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102415
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Reference: [1] Chueh K. N., Conley C. C., Smoller J. A.: Positively invariant regions for systems of nonlinear diffusion equations.Indiana Univ. Math. J. 26, 373-392 (1977). Zbl 0368.35040, MR 0430536, 10.1512/iumj.1977.26.26029
Reference: [2] Dafermos C. M.: Estimates for conservation laws with little viscosity.SIAM J. Math. Anal. 18, 409-421 (1987). Zbl 0655.35055, MR 0876280, 10.1137/0518031
Reference: [3] DiPerna R. J.: Convergence of approximate solutions to conservation laws.Arch. Rational. Mech. Anal. 82, 27-70 (1983). Zbl 0519.35054, MR 0684413, 10.1007/BF00251724
Reference: [4] Feireisl E.: Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations.Apl.Mat.55(3), 192-208(1990). Zbl 0737.35040, MR 1052740
Reference: [5] Feireisl E.: Weakly damped quasilinear wave equation: Existence of time-periodic solutions.to appear in Nonlinear Anal. T.M.A. Zbl 0757.35044, MR 1131015
Reference: [6] Rascle M.: Un résultat de „compacité par compensation à coefficients variables.Application à l'élasticité non linéaire. C. R. Acad. Sc. Paris 302 Sér. I 8, 311-314 (1986). Zbl 0606.35054, MR 0838582
Reference: [7] Serre D.: La compacité par compensation pour les systèmes hyperboliques non linéaires de deux équations a une dimension d'espace.J. Math. Pures et Appl. 65, 423-468 (1986). MR 0881690
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