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We study the stochastic nonlinear Schrödinger equations with additive stochastic forcing. By using the dispersive estimate, we present a simple argument, constructing a unique local-in-time solution with rougher stochastic forcing than those considered in the literature.
|Number of pages||17|
|Journal||Kyoto journal of mathematics|
|Early online date||30 Sep 2020|
|Publication status||Published - Dec 2020|
- stochastic nonlinear Schrödinger equation
- dispersive estimate
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ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations
1/03/15 → 29/02/20