Cauchy Problem for Stochastic Nonlinear Schrödinger Equation with Nonlinear Energy-Critical Damping

We consider the Cauchy problem for the stochastic nonlinear Schrödinger equation augmented by nonlinear energy-critical damping term arising in nonlinear optics and quantum field theory. Through examining the behavior of the momentum and energy functionals, we almost surely prove the existence and u...

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发表在:	Mathematics
Main Authors:	Lijun Miao, Linlin Qiu
格式:	文件
语言:	英语
出版:	MDPI AG 2024-08-01
主题:	stochastic nonlinear Schrödinger equation global well-posedness energy-critical damping additive noise energy space
在线阅读:	https://www.mdpi.com/2227-7390/12/16/2501