The Schr{\"o}dinger equation with spatial white noise potential
  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. 
Arnaud Debussche (IPSO, IRMAR), Hendrik Weber
math.AP math.PR