@article{SEDP_2002-2003____A7_0,
author = {de Bouard, Anne and Debussche, Arnaud},
title = {Explosion en temps fini pour l{\textquoteright}\'equation de {Schr\"odinger} non lin\'eaire stochastique surcritique},
journal = {S\'eminaire Goulaouic-Schwartz},
note = {talk:7},
pages = {1--14},
year = {2002-2003},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
zbl = {1060.60065},
language = {en},
url = {https://www.numdam.org/item/SEDP_2002-2003____A7_0/}
}
TY - JOUR AU - de Bouard, Anne AU - Debussche, Arnaud TI - Explosion en temps fini pour l’équation de Schrödinger non linéaire stochastique surcritique JO - Séminaire Goulaouic-Schwartz N1 - talk:7 PY - 2002-2003 SP - 1 EP - 14 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - https://www.numdam.org/item/SEDP_2002-2003____A7_0/ LA - en ID - SEDP_2002-2003____A7_0 ER -
%0 Journal Article %A de Bouard, Anne %A Debussche, Arnaud %T Explosion en temps fini pour l’équation de Schrödinger non linéaire stochastique surcritique %J Séminaire Goulaouic-Schwartz %Z talk:7 %D 2002-2003 %P 1-14 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U https://www.numdam.org/item/SEDP_2002-2003____A7_0/ %G en %F SEDP_2002-2003____A7_0
de Bouard, Anne; Debussche, Arnaud. Explosion en temps fini pour l’équation de Schrödinger non linéaire stochastique surcritique. Séminaire Goulaouic-Schwartz (2002-2003), Exposé no. 7, 14 p.. https://www.numdam.org/item/SEDP_2002-2003____A7_0/
[1] Bang, O.; Christiansen, P.L.; If, F.; Rasmussen, K.O.; Gaididei, Y.B. Temperature effects in a nonlinear model of monolayer Scheibe aggregates. Phys. Rev. E 1994, 49, 4627–4636.
[2] Bang, O.; Christiansen, P.L.; If, F.; Rasmussen K.O.; Gaididei, Y.B. White Noise in the Two-dimensional Nonlinear Schrödinger Equation. Appl. Anal. 1995, 57, 3–15. | Zbl | MR
[3] Da Prato, G.; Zabczyk, J. Stochastic Equations in Infinite Dimensions; Encyclopedia of Mathematics and its Applications, Cambridge University Press: Cambridge, England, 1992. | Zbl | MR
[4] de Bouard, A.; Debussche, A. A stochastic nonlinear Schrödinger equation with multiplicative noise. Comm. Math. Phys. 1999, 205, 161–181. | Zbl | MR
[5] de Bouard, A.; Debussche, A. The stochastic nonlinear Schrödinger equation in , Stochastic Analysis and Appl. 2003, 21, 97–126. | Zbl | MR
[6] de Bouard, A.; Debussche, A. On the effect of a noise on the solutions of the focusing supercritical nonlinear Schrödinger equation, Prob. Theory and Rel. Fields, 2002, 123, 76-96. | Zbl | MR
[7] de Bouard, A.; Debussche, A. Blow-up for the stochastic nonlinear Schrödinger equation with multiplicative noise, Preprint. | Zbl
[8] Debussche, A.; Di Menza L. Numerical simulation of focusing stochastic nonlinear Schrödinger equations. Phys. D 2002, 162, 131-154. | Zbl | MR
[9] Konotop, V.; Vázquez L. Nonlinear random waves; World Scientific Publishing Co., Inc.: River Edge, N.J., 1994. | Zbl | MR
[10] Millet, A.; Sanz-Solé, M. A simple proof of the support theorem for diffusion processes, Séminaire de Probabilité XXVIII, J. Azéma et al. ed., LNM 1583, 1994, 36-48. | Zbl | MR | Numdam
[11] Sulem, C.; Sulem, P.L. The nonlinear Schrödinger Equation, Self-Focusing and Wave Collapse; Appl. Math. Sciences, Springer Verlag, New York, 1999. | Zbl | MR
[12] Ueda, T.; Kath W.L. Dynamics of optical pulses in randomly birefrengent fibers. Physica D 1992, 55, 166–181. | Zbl
