Abstract
We consider the linear and nonlinear Schrödinger equation with a spatial white noise as a potential over the two dimensional torus. We prove existence and uniqueness of solutions to an initial value problem for suitable initial data. Our construction is based on a change of unknown originally used in [13] and conserved quantities.
Citation
Arnaud Debussche. Hendrik Weber. "The Schrödinger equation with spatial white noise potential." Electron. J. Probab. 23 1 - 16, 2018. https://doi.org/10.1214/18-EJP143
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