A stochastic nonlinear Schrödinger problem in variational formulation

DOI10.1007/s00030-016-0374-1zbMath1338.60160OpenAlexW2313879748MaRDI QIDQ282603

Diana Keller, Hannelore Breckner

Publication date: 12 May 2016

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-016-0374-1

zbMATH Keywords

Galerkin methodvariational solutionpower-type nonlinearitystochastic nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (7)

Effective wave factorization for a stochastic Schrödinger equation ⋮ Averaging principle for multiscale stochastic fractional Schrödinger equation ⋮ The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds ⋮ Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space ⋮ Averaging principle for multiscale stochastic Klein-Gordon-heat system ⋮ Large deviations for nonlinear stochastic Schrödinger equation ⋮ Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the well-posedness for stochastic Schrödinger equations with quadratic potential
• Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach
• Multi-order exact solutions of the complex Ginzburg-Landau equation
• Classical solutions of nonlinear Schrödinger equations
• Classical solutions of nonlinear Schrödinger equations in higher dimensions
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Time dependent nonlinear Schrödinger equations
• On an initial-boundary value problem for the nonlinear Schrödinger equation
• Infinite-dimensional dynamical systems in mechanics and physics.
• Existence and uniqueness of global solutions of nonlinear Schrödinger equations on \(\mathbb{R}^ 2\)
• A stochastic nonlinear Schrödinger equation with multiplicative noise
• A note on stochastic Schrödinger equations with fractional multiplicative noise
• Variational Solution of Stochastic Schrödinger Equations With Power-Type Nonlinearity
• On smooth solutions to the initial-boundary value problem for the nonlinear schrödinger equation in two space dimensions
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Über Näherungsverfahren zur Lösung der nichtlinearen SCHRÖDINGER-Gleichung
• Nonlinear Schrödinger evolution equations
• The Stochastic Nonlinear Schrödinger Equation inH¹
• Existence of suitable weak solutions of complex Ginzburg–Landau equations and properties of the set of singular points
• Stochastic Nonlinear Equations of Schrödinger Type

This page was built for publication: A stochastic nonlinear Schrödinger problem in variational formulation