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The Schrödinger equation with spatial white noise potential
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Debussche, Arnaud and Weber, Hendrik (2018) The Schrödinger equation with spatial white noise potential. Electronic Journal of Probability, 23 . pp. 1-16. 28. doi:10.1214/18-EJP143 ISSN 1083-6489.
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Official URL: http://doi.org/10.1214/18-EJP143
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.
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QC Physics | ||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Schrödinger equation, Renormalization (Physics) | ||||||||||||
| Journal or Publication Title: | Electronic Journal of Probability | ||||||||||||
| Publisher: | University of Washington. Dept. of Mathematics | ||||||||||||
| ISSN: | 1083-6489 | ||||||||||||
| Official Date: | 30 March 2018 | ||||||||||||
| Dates: |
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| Volume: | 23 | ||||||||||||
| Page Range: | pp. 1-16 | ||||||||||||
| Article Number: | 28 | ||||||||||||
| DOI: | 10.1214/18-EJP143 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
| Date of first compliant deposit: | 13 March 2018 | ||||||||||||
| Date of first compliant Open Access: | 8 May 2018 | ||||||||||||
| RIOXX Funder/Project Grant: |
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