We study a nonlinear Schrödinger equation with a linear damping, i.e. a zero-order dissipation, and an additive noise. Working in R-d with d <= 3, we prove the uniqueness of the invariant measure when the damping coefficient is sufficiently large.

Ergodic results for the stochastic nonlinear Schrödinger equation with large damping

Ferrario B.
;
2023-01-01

Abstract

We study a nonlinear Schrödinger equation with a linear damping, i.e. a zero-order dissipation, and an additive noise. Working in R-d with d <= 3, we prove the uniqueness of the invariant measure when the damping coefficient is sufficiently large.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1474494
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