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.
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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.File in questo prodotto:
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