The Schr{\"o}dinger equation with spatial white noise potential

Preprint English OPEN
Debussche, Arnaud; Weber, Hendrik;
(2016)
  • Subject: Mathematics - Probability | Mathematics - Analysis of PDEs

We consider the linear and nonlinear Schr{\"o}dinger equation with a spatial white noise as a potential in dimension 2. We prove existence and uniqueness of solutions thanks to a change of unknown originally used in [8] and conserved quantities.
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