Global and Local Solutions of Stochastic Nonlinear Schrödinger System With Quadratic Interaction

Masaru Hamano, Shunya Hashimoto*, Shuji Machihara

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Global and local existence results for the solutions of systems of stochastic Schrödinger equations with multiplicative noise and quadratic nonlinear terms are discussed in this paper. The same system in the deterministic treatment was studied in [23] where the mass and energy are conserved. In our stochastic situation, those are not conserved.

Original languageEnglish
Article number22
JournalBulletin of the Iranian Mathematical Society
Volume50
Issue number2
DOIs
Publication statusPublished - 2024 Apr

Keywords

  • Global existence
  • Quadratic interaction
  • Stochastic nonlinear Schrödinger system

ASJC Scopus subject areas

  • General Mathematics

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