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

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发表日期：

2024年3月15日

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Masaru Hamano,
Shunya Hashimoto,
Shuji Machihara

摘要

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.