GLOBAL WELL-POSEDNESS FOR THE L-2-CRITICAL HARTREE EQUATION ON R-n, n >= 3
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chae, Myeongju | ko |
| dc.contributor.author | Kwon, Soonsik | ko |
| dc.date.accessioned | 2013-03-09T18:08:47Z | - |
| dc.date.available | 2013-03-09T18:08:47Z | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.issued | 2009-08 | - |
| dc.identifier.citation | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.8, no.6, pp.1725 - 1743 | - |
| dc.identifier.issn | 1534-0392 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/97086 | - |
| dc.description.abstract | We consider the initial value problem for the L-2-critical defocusing Hartree equation in R-n, n >= 3. We show that the problem is globally well posed in H-s(R-n) when 1 > s > 2(n-2)/3n-4. We use the "I-method" following [9] combined with a local in time Morawetz estimate for the smoothed out solution I phi as in [7]. | - |
| dc.language | English | - |
| dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
| dc.title | GLOBAL WELL-POSEDNESS FOR THE L-2-CRITICAL HARTREE EQUATION ON R-n, n >= 3 | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000269220800001 | - |
| dc.identifier.scopusid | 2-s2.0-77249141208 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 8 | - |
| dc.citation.issue | 6 | - |
| dc.citation.beginningpage | 1725 | - |
| dc.citation.endingpage | 1743 | - |
| dc.citation.publicationname | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | - |
| dc.identifier.doi | 10.3934/cpaa.2009.8.1725 | - |
| dc.contributor.localauthor | Kwon, Soonsik | - |
| dc.contributor.nonIdAuthor | Chae, Myeongju | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | Global well-posedness | - |
| dc.subject.keywordAuthor | Hartree equation | - |
| dc.subject.keywordAuthor | I-method | - |
| dc.subject.keywordAuthor | almost conservation law | - |
| dc.subject.keywordPlus | NONLINEAR SCHRODINGER-EQUATION | - |
| dc.subject.keywordPlus | SCATTERING | - |
| dc.subject.keywordPlus | DISPERSION | - |
| dc.subject.keywordPlus | ENERGY | - |
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