On the well-posedness for stochastic Schrödinger equations with quadratic potential

DOI10.1007/s11401-011-0670-3zbMath1308.35268OpenAlexW2025619720MaRDI QIDQ741449

Ting Zhang, Linzi Zhang, Daoyuan Fang

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-011-0670-3

zbMATH Keywords

well-posednessblow upstochastic Schrödinger equation

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (4)

A stochastic nonlinear Schrödinger problem in variational formulation ⋮ Blow-up for the stochastic nonlinear Schrödinger equations with quadratic potential and additive noise ⋮ Variational Solution of Stochastic Schrödinger Equations With Power-Type Nonlinearity ⋮ Global energy solutions to a stochastic Schrödinger-Poisson system with multiplicative noise in two dimensions

Cites Work

• Blowup for the stochastic nonlinear Schrödinger equation with multiplicative noise
• A stochastic nonlinear Schrödinger equation with multiplicative noise
• On the effect of a noise on the solutions of the focusing supercritical nonlinear Schrödinger equation
• Remarks on nonlinear Schrödinger equations with harmonic potential
• Nonlinear Schrödinger Equations with Repulsive Harmonic Potential and Applications
• The Stochastic Nonlinear Schrödinger Equation inH¹
• CRITICAL NONLINEAR SCHRÖDINGER EQUATIONS WITH AND WITHOUT HARMONIC POTENTIAL
• Stochastic Equations in Infinite Dimensions

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