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

被引：0
|
作者：
Hamano, Masaru [1 ]
Hashimoto, Shunya [2 ]
Machihara, Shuji [2 ]
机构：
[1] Waseda Univ, Fac Sci & Engn, Tokyo 1698555, Japan
[2] Saitama Univ, Fac Sci, Dept Math, Saitama 3388570, Japan
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2024年 / 50卷 / 02期
基金：
日本学术振兴会;
关键词：
Stochastic nonlinear Schrodinger system; Quadratic interaction; Global existence; SCHRODINGER-EQUATIONS; DEFOCUSING MASS;
D O I：
10.1007/s41980-024-00863-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Global and local existence results for the solutions of systems of stochastic Schrodinger 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.
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页数：31
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