Attracteurs compacts pour des problèmes d'évolution sans unicité

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1. [1] Aguirre ( J.), Escobedo ( M.). — A Cauchy problem for ut = Δu - up with 0 < p < 1. Asymptotic behaviour solutions, Ann. Fac. Toulouse, Vol VIII, n° 2, (1987), p. 1986-1987. Zbl0601.35051
2. [2] Alt ( H.W.), Luckhaus ( S.). — Quasilinear Elliptic-parabolic differential equations, Math2, 183, (1983), p. 311-341. Zbl0497.35049MR706391
3. [3] Andreu ( F.), Mazon ( J.M.), Simondon ( F.), Toledo ( J.). — Global existence for a degenerate nonlinear diffusion problem with nonlinear gradient term and source, Mathematische Annalen, 314, (1999), p. 703-728. Zbl0926.35068MR1709107
4. [4] Ball ( J.M.). — On the asymptotic behavior of generalized process with applications to Nonlinear evolution equations, J. Differential Equations, 27, (1978), p. 224-265. Zbl0376.35002MR461576
5. [5] Chepyzhov ( V.V.), Vishik ( M.I.). — Trajectory attractors for evolution equations, C.R. Acad. Sci.Paris, 321, (1995), p. 1309-1314. Zbl0843.35038MR1363570
6. [6] Chepyzhov ( V.V.), Vishik ( M.I.). - Evolution equations and their trajectory attractors, J. math. pures et appl., 76, (1997), p. 913-964. Zbl0896.35032MR1489945
7. [7] Crandall ( M.G.), Ishi ( H.), Lions ( P.L.). — User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc., 27 (1), (1992), p. 1-67. Zbl0755.35015MR1118699
8. [8] Dibenedetto. — Continuity of weak solutions to a general porous medium equation, Indiana Univ. Math. J.32, (1983), p. 88-118. Zbl0526.35042MR684758
9. [9] Dal Passo ( R.), Luckhaus ( S.). — A degenerate problem not in divergence form, J. D. E., 69, (1987), p. 1-14. Zbl0688.35045MR897437
10. [10] Haraux ( A.). — Systèmes dynamiques dissipatifs et applications, RMA17, Masson, Paris (1991). Zbl0726.58001MR1084372
11. [11] Laurençot ( Ph.). - Etude de quelques problèmes aux derivées partielles non linéaires, Thèse de l'Université de Franche-Comté; Besançon (1993). 
12. [12] Ladyzenskaya ( O.A.), Solonnikov ( V.L.), Uraltseva ( N.N.). — Linear and quasilinear equations of parabolic type. Trans. of Math. Monographs23, AMS (1968). Zbl0174.15403
13. [13] MEL'NIK ( V.S.). — Multivalued semiflows and their attractors, Dokladi Mathematics, Vol. 52, No 1, (1995), p. 36-39. Zbl0922.54035MR1354500
14. [14] De Pablo ( A.), Vazquez ( J.L.). - Travelling waves and Finite propagation in a reaction-diffusion equation, JDE, 93 (1991), p. 19-61. Zbl0784.35045MR1122305
15. [15] Temam ( R.). — Infinite-dimensional dynamical systems in mechanics and physique, Appl. Math. Sc.68, Springer-Verlag, New York, 1988. Zbl0662.35001MR953967