dc.contributor.advisor | Alhazaa, Khalifa | eng |
dc.contributor.author | Alhazaa, Khalifa | eng |
dc.contributor.other | University of Missouri-Columbia. Graduate School. Theses and Dissertations. Dissertations. 2013 Dissertations | eng |
dc.date.issued | 2013 | eng |
dc.date.submitted | 2013 Fall | eng |
dc.description.abstract | [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The study of Strichartz s inequality is very important in the theory of nonlinear Shrodinger equations. The inequalities do not hold for all choice of constants. Many cases were settled. for instance, some cases were settled by Montegomery-Smith. In this paper we give a generalization to the usual Strichartz inequality using the Riesz potential. We then prove the inequality to hold in some cases and give counterexamples on other cases. | eng |
dc.identifier.uri | https://hdl.handle.net/10355/46122 | |
dc.identifier.uri | https://doi.org/10.32469/10355/46122 | eng |
dc.language | English | eng |
dc.publisher | University of Missouri--Columbia | eng |
dc.relation.ispartofcommunity | University of Missouri--Columbia. Graduate School. Theses and Dissertations | eng |
dc.rights | Access is limited to the campus of the University of Missouri--Columbia. | eng |
dc.rights.license | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License. | |
dc.source | Submitted by the University of Missouri--Columbia Graduate School. | eng |
dc.subject | Strichartz's inequality; Shrodinger equations; Riesz potential | eng |
dc.subject.FAST | Differential equations, Partial | eng |
dc.subject.FAST | Applied mathematics | eng |
dc.subject.FAST | Potential theory (Mathematics) | eng |
dc.title | Counterexamples to Strichartz Type Inequalities | eng |
dc.type | Thesis | eng |
thesis.degree.discipline | Mathematics (MU) | eng |
thesis.degree.grantor | University of Missouri--Columbia | eng |
thesis.degree.level | Doctoral | eng |
thesis.degree.name | Ph. D. | eng |