Title:
|
Global existence for quasi-linear dissipative hyperbolic equations with large data and small parameter (English) |
Author:
|
Milani, Albert J. |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
40 |
Issue:
|
2 |
Year:
|
1990 |
Pages:
|
325-331 |
. |
Category:
|
math |
. |
MSC:
|
35B25 |
MSC:
|
35L70 |
idZBL:
|
Zbl 0728.35070 |
idMR:
|
MR1046298 |
DOI:
|
10.21136/CMJ.1990.102384 |
. |
Date available:
|
2008-06-09T15:33:09Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102384 |
. |
Reference:
|
[1] T. Kato: Quasi-linear Equations of Evolution, with Applications to Partial Differential Equations.Lect. Notes Math. 448, pp. 25-70; Springer-Verlag, Berlin 1975. Zbl 0315.35077, MR 0407477, 10.1007/BFb0067080 |
Reference:
|
[2] A. Malsumura: Global Existence and Asymptotics of the Solutions of Second Order Quasilinear Hyperbolic Equations with First Order Dissipation Term.Publ. R.I.M.S. Kyoto Univ., 13 (1977), 349-379. MR 0470507, 10.2977/prims/1195189813 |
Reference:
|
[3] A. Milani: Long Time Existence and Singular Perturbation Results for Quasi-linear Hypebolic Equations with Small Parameter and Dissipation Term.Non Linear Anal., 10/11 (1986), 1237-1248. MR 0866256 |
Reference:
|
[4] A. Milani: idem, II.Non Linear Anal., 11/12 (1987), 1371-1381. 10.1016/0362-546X(87)90089-7 |
Reference:
|
[5] A. Milani: Global Existence for Quasi-linear Dissipative Wave Equations with Large Data and Small Parameter.Math. Zeit., 198 (1988), 291-297. MR 0939542 |
Reference:
|
[6] L. Niremberg: On Elliptic Partial Differential Equations.Ann. Sc. Norm. Pisa, 13 (1959), 115-162. MR 0109940 |
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