Ergodic results for the stochastic nonlinear Schrödinger equation with large damping

DOI10.1007/s00028-023-00870-6OpenAlexW4319264538MaRDI QIDQ2688439

Margherita Zanella, Zdzisław Brzeźniak, Benedetta Ferrario

Publication date: 3 March 2023

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.13364

zbMATH Keywords

ergodicitynonlinear Schrödinger equationadditive noiseunique invariant measure

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) White noise theory (60H40) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs with measure (35R06)

Related Items (2)

Uniqueness of the invariant measure and asymptotic stability for the 2D Navier-Stokes equations with multiplicative noise ⋮ Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation

Cites Work

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• Stochastic nonlinear Schrödinger equations
• On unique ergodicity in nonlinear stochastic partial differential equations
• Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach
• Ergodicity for a weakly damped stochastic nonlinear Schrödinger equation
• Existence of invariant measures for the stochastic damped Schrödinger equation
• A stochastic nonlinear Schrödinger equation with multiplicative noise
• Long-time behaviour for weakly damped driven nonlinear Schrödinger equations in \(\mathbb{R}^ N, N\leq 3\)
• The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates
• Invariant measures for stochastic damped 2D Euler equations
• Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space
• Invariant measures for stochastic nonlinear Schrödinger equations. Numerical approximations and symplectic structures
• On global existence and blow-up for damped stochastic nonlinear Schrödinger equation
• Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case
• Scattering for stochastic nonlinear Schrödinger equations
• The Stochastic Nonlinear Schrödinger Equation inH¹
• Ergodicity for Infinite Dimensional Systems
• Invariant measures for a stochastic nonlinear Schroedinger equation

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