no. 3
Explicit upper and lower bounds on the number of degrees of freedom for damped and driven cubic Schrödinger equations
ESAIM: Modélisation mathématique et analyse numérique, Attractors, Inertial Manifolds and their Approximation. Proceedings of the Marseille-Luminy... 1987, Tome 23 (1989) no. 3, pp. 433-443 
@article{M2AN_1989__23_3_433_0,
     author = {Ghidaglia, J. M.},
     title = {Explicit upper and lower bounds on the number of degrees of freedom for damped and driven cubic {Schr\"odinger} equations},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {433--443},
     year = {1989},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {23},
     number = {3},
     mrnumber = {1014484},
     zbl = {0688.35084},
     language = {en},
     url = {https://www.numdam.org/item/M2AN_1989__23_3_433_0/}
}
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Ghidaglia, J. M. Explicit upper and lower bounds on the number of degrees of freedom for damped and driven cubic Schrödinger equations. ESAIM: Modélisation mathématique et analyse numérique, Attractors, Inertial Manifolds and their Approximation. Proceedings of the Marseille-Luminy... 1987, Tome 23 (1989) no. 3, pp. 433-443. https://www.numdam.org/item/M2AN_1989__23_3_433_0/

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