A Stochastic Nonlinear Schrödinger Equation¶with Multiplicative Noise
- 503 Downloads
We study a conservative stochastic nonlinear Schrödinger equation with a multiplicative noise. We show the global existence and uniqueness of square integrable solutions for subcritical nonlinearities, the critical exponent being the same, in dimension 1 or 2, as the critical exponent of the deterministic equation.
Unable to display preview. Download preview PDF.