Monday, June 3, 2024 - 12:00 in V2-210/216
Stationary solutions for nonlinear Schrödinger equation
A talk in the Harmonic and Stochastic Analysis of Dispersive PDEs series by
Benedetta Ferrario from University of Pavia
| Abstract: |
We consider a nonlinear Schrödinger equation with a random force in a bounded domain.
We prove the existence of martingale solutions and of stationary martingale solutions when
there is a damping term of order zero. Then, following the technique by Kuksin, we let the
intensity of the damping and of the noise vanish; in the limit we obtain stationary solutions of the deterministic nonlinear Schrödinger equation. Finally we prove some properties of the
limit process and compare our results with those of Kuksin and collaborators.
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