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Title: Large time behaviour of the solutions to some nonlinear evolution equations (English)
Author: Haraux, Alain
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 26
Issue: 1
Year: 1985
Pages: 91-109
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Category: math
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MSC: 35B10
MSC: 35B15
MSC: 35B40
MSC: 35K05
MSC: 35K55
MSC: 35L05
MSC: 35L99
idZBL: Zbl 0583.35007
idMR: MR797295
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Date available: 2008-06-05T21:20:20Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106349
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Reference: [1] L. AMERIO G. PROUSE: Uniqueness and almost-periodicity theorems for a nonlinear wave equation.Atti Accad. Naz. Lincei Rend Cl. Sci. Pis. Mat. Natur 46 (1969), 1-8. MR 0255993
Reference: [2] H. BREZIS: Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert.North-Holland, Amsterdam - London (1973). Zbl 0252.47055, MR 0348562
Reference: [3] H. BREZIS: Problèmes unilatéraux.J. Math. Pures Appl. 51 (1972), 1-168. Zbl 0237.35001, MR 0428137
Reference: [4] T. CAZENAVE A. HARAUX: Propriétés oscillatoires des solutions de certaines équations des ondes semi-linéaires.C.R.A.S. Paris, Ser. A, to appear (1984). MR 0750743
Reference: [5] C. M. DAFERMOS M. SLEMROD: Asymptotic behavior of non linear contraction semi-groups.J. Funct. Analysis 12 (1973), 97-106. MR 0346611
Reference: [6] C. M. DAFERMOS: Asymptotic behavior of Solutions of Evolution Equations.in Nonlinear Evolution Equations, M. G. Crandall editor, Academic Press (1978), 103-123. Zbl 0499.35015, MR 0513814
Reference: [7] A. HARAUX: Comportement à l'infini pour une équation des ondes non linéaire dissipative.C.R.A.S. Paris, t. 287 Ser. A (1978), 507-509. MR 0512092
Reference: [8] A. HARAUX: Nonlinear evolution equations: global behavior of solutions.Springer Lecture Notes in Math. 841 (1981). Zbl 0461.35002, MR 0610796
Reference: [9] A. HARAUX: Almost periodic forcing for a wave equation with a nonlinear.local damping term, Proc. Roy Soc. Edinburgh, 94 A (1983), 195-212. Zbl 0589.35076, MR 0709715
Reference: [10] A. HARAUX: On a uniqueness theorem of L. Amerio and G. Prouse.to appear in Proc. Roy. Soc. Edinburgh. Zbl 0555.35090
Reference: [11] A. HARAUX: Stabilization of trajectories for some weakly damped hyperbolic equations.to appear. Zbl 0535.35006
Reference: [12] A. HARAUX H. CABANNES: Almost periodic motion of a string vibrating against a straight, fixed obstacle.Nonlinear Analysis, T.M.A., 7 (2) (1983), 129-141. MR 0688769
Reference: [13] A. HARAUX M. KIRANE: Estimations $C^1$ pour des problèmes paraboliques semi-linéairesm.Ann. Fac. Sci. Toulouse 5 (1983). MR 0747194
Reference: [14] M. KIRANE G. TRONEL: Effet régularisant $C^{\infty}$ dans les problèmes paraboliques.to appear.
Reference: [15] M. SCHATZMAN: A hyperbolic problem of second order with unilateral constraints: the vibrating string with a concave obstacle.J. Math. Anal. Appl. 73 (1980), 138-191. Zbl 0497.73059, MR 0560941
Reference: [16] G. F. WEBB: A reaction-diffusion system for a deterministic diffusive epidemic.J. Math. Anal, and Appl. 84 (1981), 150-161. MR 0639529
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