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 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

Zanella M.
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 we prove the uniqueness of the invariant measure when the damping coefficient is sufficiently large.
2023
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1230249
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