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arXiv · 1612.02230

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

Arnaud Debussche·Hendrik Weber
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Abstract

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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Arnaud Debussche, Hendrik Weber. 2016-12-07. The Schr{\"o}dinger equation with spatial white noise potential. https://arxiv.org/abs/1612.02230

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