Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on R
We show robustness of various truncated and subcritical approximations to the stochastic defocusing mass-critical nonlinear Schrödinger equation (NLS) in dimension d=1, whose solution was constructed in [8] with one particular such approximation. The key ingredient in the proof is a uniform bound of...
| मुख्य लेखकों: | , |
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| स्वरूप: | Journal article |
| भाषा: | English |
| प्रकाशित: |
Elsevier
2019
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| _version_ | 1826264794626260992 |
|---|---|
| author | Fan, C Xu, W |
| author_facet | Fan, C Xu, W |
| author_sort | Fan, C |
| collection | OXFORD |
| description | We show robustness of various truncated and subcritical approximations to the stochastic defocusing mass-critical nonlinear Schrödinger equation (NLS) in dimension d=1, whose solution was constructed in [8] with one particular such approximation. The key ingredient in the proof is a uniform bound of the solutions to the family of deterministic mass-subcritical defocusing NLS. |
| first_indexed | 2024-03-06T20:13:34Z |
| format | Journal article |
| id | oxford-uuid:2b6519b5-0dd8-44fb-97fb-dc8ab910f35b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:13:34Z |
| publishDate | 2019 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:2b6519b5-0dd8-44fb-97fb-dc8ab910f35b2022-03-26T12:30:41ZSubcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on RJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2b6519b5-0dd8-44fb-97fb-dc8ab910f35bEnglishSymplectic Elements at OxfordElsevier2019Fan, CXu, WWe show robustness of various truncated and subcritical approximations to the stochastic defocusing mass-critical nonlinear Schrödinger equation (NLS) in dimension d=1, whose solution was constructed in [8] with one particular such approximation. The key ingredient in the proof is a uniform bound of the solutions to the family of deterministic mass-subcritical defocusing NLS. |
| spellingShingle | Fan, C Xu, W Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on R |
| title | Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on R |
| title_full | Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on R |
| title_fullStr | Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on R |
| title_full_unstemmed | Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on R |
| title_short | Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on R |
| title_sort | subcritical approximations to stochastic defocusing mass critical nonlinear schrodinger equation on r |
| work_keys_str_mv | AT fanc subcriticalapproximationstostochasticdefocusingmasscriticalnonlinearschrodingerequationonr AT xuw subcriticalapproximationstostochasticdefocusingmasscriticalnonlinearschrodingerequationonr |