Existence of invariant measures for the stochastic damped Schr "odinger\n equation

2016/05/06 by Ibrahim Ekren, Igor Kukavica, Ekren, Ibrahim +3
Computer Science · Economics, Econometrics and Finance · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1605.02014

openalex publication_date 2016/05/06 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this paper, we address the long time behaviour of solutions of the\nstochastic Schrodinger equation in \ℝ^d. We prove the existence of an\ninvariant measure and establish asymptotic compactness of solutions, implying\nin particular the existence of an ergodic measure.\n

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