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Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger equation
dc.contributor.author | Shao, Shuanglin | |
dc.date.accessioned | 2015-03-24T16:54:21Z | |
dc.date.available | 2015-03-24T16:54:21Z | |
dc.date.issued | 2009-09-04 | |
dc.identifier.citation | Shao, Shuanglin. "Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger equation." (2009) Electronic Journal of Differential Equations. Vol 3. pg. 1-13. http://ejde.math.txstate.edu/ | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/17188 | |
dc.description | This is the published version, also available here: http://ejde.math.txstate.edu/. | en_US |
dc.description.abstract | In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schr¨odinger equation in all dimensions based on the recent linear profile decomposition result. We then present a new proof of the linear profile decomposition for the Schr¨oindger equation with initial data in the homogeneous Sobolev space; as a consequence, there exists a maximizer for the Sobolev-Strichartz inequality. | en_US |
dc.publisher | Texas State University, Department of Mathematics | en_US |
dc.relation.isversionof | http://ejde.math.txstate.edu/ | en_US |
dc.title | Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger equation | en_US |
dc.type | Article | |
kusw.kuauthor | Shao, Shuanglin | |
kusw.kudepartment | Mathematics | en_US |
kusw.oaversion | Scholarly/refereed, publisher version | |
kusw.oapolicy | This item meets KU Open Access policy criteria. | |
dc.rights.accessrights | openAccess |