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arxiv: 1612.02230 · v1 · pith:AWYW777Qnew · submitted 2016-12-07 · 🧮 math.AP · math.PR

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

classification 🧮 math.AP math.PR
keywords dingerequationnoisepotentialschrspatialwhitechange
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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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