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 |
. |
Category:
|
math |
. |
MSC:
|
35B25 |
MSC:
|
35K22 |
MSC:
|
35L70 |
idZBL:
|
Zbl 0757.35043 |
idMR:
|
MR1084897 |
DOI:
|
10.21136/CMJ.1990.102415 |
. |
Date available:
|
2008-06-09T15:35:28Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102415 |
. |
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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