Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 161-181 |
| Number of pages | 21 |
| Journal | Communications in Mathematical Physics |
| Volume | 205 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 1999 |
| Externally published | Yes |