Multilinear smoothing and local well-posedness of a stochastic quadratic nonlinear Schrödinger equation

DOI10.1007/s10959-023-01282-5arXiv2204.02808OpenAlexW4280635112MaRDI QIDQ6204780

Nicolas Schaeffer

Publication date: 2 April 2024

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02808

zbMATH Keywords

stochastic Schrödinger equationspace-time fractional noisemultilinear smoothing

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach
• Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
• On the Cauchy problem for the Zakharov system
• Construction of \(\Phi^4_3\) diagrams for pedestrians
• Global well posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain
• Comparing the stochastic nonlinear wave and heat equations: a case study
• On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise
• On the stochastic nonlinear Schrödinger equations at critical regularities
• STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION WITH ALMOST SPACE–TIME WHITE NOISE
• The Malliavin Calculus and Related Topics
• A nonlinear Schrödinger equation with fractional noise
• Unsteady water wave modulations: Fully nonlinear solutions and comparison with the nonlinear Schrödinger equation.

This page was built for publication: Multilinear smoothing and local well-posedness of a stochastic quadratic nonlinear Schrödinger equation