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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
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Category: math
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MSC: 35B25
MSC: 35L70
idZBL: Zbl 0728.35070
idMR: MR1046298
DOI: 10.21136/CMJ.1990.102384
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Date available: 2008-06-09T15:33:09Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102384
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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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