Regularity of the attractor for a weakly damped nonlinear Schrödinger equation

Applicable Analysis

Volumn 60, Issue 1-2, 1996, Pages 99-119

  Goubet, Olivier ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

Damping global attractor; Nonlinear Schrodinger equations

Indexed keywords

EID: 85064027304     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819608840420     Document Type: Article

References (8)

1. Abounouh, M., 1993. Asymptotic behavior for a weakly damped Schrodinger equation in dimension two. Appl. Math. Lett., 6: 29–32.
2. Ball J., A proof of the existence of gloabl attractors for damped semilinear weve equations June1998 to appear
3. Foias, C., and Prodi, G., 1967. Sur le comportement gloabl des solutions non stationanaires des èquations de Navier-Stokes en dimensions, Vol. 39, 1–34. Padova: Rend. Sem. Mat. Univ.
4. Ghidaglia, J. M., 1988. Finite dimensional behavior for weakly damped driven Schrödinger equations, Ann. Inst. H. Poincaré Analyse Non Linéaire, 5: 365–405.
5. Ghidaglia, J.MP., 1994. A note on the strong convergence towards attractors for damped forced KdV equations. J. Diff. Equ., 110: 356–359.
6. Goubet, O., 1995. “ A new result on attractors for dissipative equations: ”. In applications to the weakly damped nonlinear Schrödinger equations, Bloomington, Indiana (USA): Institute for Scientific Computing and Applied Mathematics.
7. Temam, R., 1988. “ Infinite-Dimensional Dynamical Systems in Mechanics and Physics ”. In Appliced Mathematical Science Series, Vol. 58, New York: Springer-Verlag.
8. Wang W., An energy equation for the weakly damped driven nonlinear Schr7ouml;dinger equations and its applications to their attractors June1998 Physica D, to appear.