Stochastic nonlinear Schrödinger equation on half-line with boundary noise

DOI10.1016/j.jde.2022.05.017zbMath1491.35404OpenAlexW4281762727MaRDI QIDQ2672561

N. Sotelo-Garcia, Alexis V. Vázquez-Esquivel, Elena I. Kaikina

Publication date: 13 June 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.05.017

zbMATH Keywords

stochastic Schrödinger equationBrown-noise Neumann-boundary value problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Brownian motion (60J65) White noise theory (60H40) NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace transform (44A10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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