Representation formula for stochastic Schrödinger evolution equations and applications
Representation formula for stochastic Schrödinger evolution equations and applications
We prove a representation formula for solutions of Schrödinger equations with potentials multiplied by a temporal real-valued white noise in the Stratonovich sense. Using this formula, we obtain a dispersive estimate which allows us to study the Cauchy problem in L2 or in the energy space of model equations arising …