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Orbital Stability of Ground State Solutions to the Nonlinear Schrödinger Equation

dc.contributor.advisorJohnson, Mathew
dc.contributor.authorKlipfel, Joel Jacob
dc.date.accessioned2016-01-03T03:27:23Z
dc.date.available2016-01-03T03:27:23Z
dc.date.issued2015-08-31
dc.date.submitted2015
dc.identifier.otherhttp://dissertations.umi.com/ku:14228
dc.identifier.urihttp://hdl.handle.net/1808/19541
dc.description.abstractIn this paper we study ground state solutions to the focusing, nonlinear Schrödinger equation iut = −∆u − |u|2σ u, u ∈ C R; H 1 (R) , σ ≥ 0 and determine the values of σ for which such solutions exist, and are stable.
dc.format.extent82 pages
dc.language.isoen
dc.publisherUniversity of Kansas
dc.rightsCopyright held by the author.
dc.subjectMathematics
dc.subjectground state solutions
dc.subjectNLS
dc.subjectNonlinear Schrödinger Equation
dc.subjectstability
dc.subjectstanding waves
dc.titleOrbital Stability of Ground State Solutions to the Nonlinear Schrödinger Equation
dc.typeThesis
dc.contributor.cmtememberStefanov, Atanas
dc.contributor.cmtememberStanislavova, Milena
dc.thesis.degreeDisciplineMathematics
dc.thesis.degreeLevelM.A.
dc.rights.accessrightsopenAccess


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