High-frequency averaging in semi-classical Hartree-type equations
| dc.contributor.author | Giannoulis, J. | en |
| dc.contributor.author | Mielke, A. | en |
| dc.contributor.author | Sparber, C. | en |
| dc.date.accessioned | 2015-11-24T17:24:29Z | |
| dc.date.available | 2015-11-24T17:24:29Z | |
| dc.identifier.issn | 0921-7134 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12905 | |
| dc.rights | Default Licence | - |
| dc.subject | nonlinear schrodinger equation | en |
| dc.subject | hartree nonlinearity | en |
| dc.subject | high-frequency asymptotics | en |
| dc.subject | wkb approximation | en |
| dc.subject | classical limit | en |
| dc.subject | pulses | en |
| dc.title | High-frequency averaging in semi-classical Hartree-type equations | en |
| heal.abstract | We investigate the asymptotic behavior of solutions to semi-classical Schrodinger equations with nonlinearities of Hartree type. For a weakly nonlinear scaling, we show the validity of an asymptotic superposition principle for slowly modulated highly oscillatory pulses. The result is based on a high-frequency averaging effect due to the nonlocal nature of the Hartree potential, which inhibits the creation of new resonant waves. In the proof we make use of the framework of Wiener algebras. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | Doi 10.3233/Asy-2010-1007 | - |
| heal.identifier.secondary | <Go to ISI>://000283050800004 | - |
| heal.identifier.secondary | http://iospress.metapress.com/content/g227281844661662/ | - |
| heal.journalName | Asymptotic Analysis | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2010 | - |
| heal.publisher | IOS Press | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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