Stochastic Differential Equations Driven by Generalized Positive Noise
Michael Oberguggenberger, Danijela Rajter-Ćirić (2005)
Publications de l'Institut Mathématique
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Displaying similar documents to “Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations”
Stochastic Differential Equations Driven by Generalized Positive Noise
Changing blow-up time in nonlinear Schrödinger equations
Rémi Carles (2003)
Journées équations aux dérivées partielles
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Solutions to nonlinear Schrödinger equations may blow up in finite time. We study the influence of the introduction of a potential on this phenomenon. For a linear potential (Stark effect), the blow-up time remains unchanged, but the location of the collapse is altered. The main part of our study concerns isotropic quadratic potentials. We show that the usual (confining) harmonic potential may anticipate the blow-up time, and always does when the power of the nonlinearity is -critical....
Stochastic Swift-Hohenberg equation near a change of stability
Blömker, Dirk, Hairer, Martin, Pavliotis, Grigorios A.
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Existence globale et diffusion pour l’équation de Schrödinger non linéaire répulsive cubique sur en dessous l’espace d’énergie
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao (2002)
Journées équations aux dérivées partielles
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We sketch a proof of global existence and scattering for the defocusing cubic nonlinear Schrödinger equation in for . The proof uses a new estimate of Morawetz type.
Global well-posedness and scattering for the mass-critical NLS
Benjamin Dodson (2011)
Journées Équations aux dérivées partielles
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On convergence of population processes in random environments to the stochastic heat equation with colored noise.
Sturm, Anja (2003)
Electronic Journal of Probability [electronic only]
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Time-dependent backward stochastic evolution equations.
Al-Hussein, AbdulRahman (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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