Orbital Stability of Ground State Solutions to the Nonlinear Schrödinger Equation
Issue Date
2015-08-31Author
Klipfel, Joel Jacob
Publisher
University of Kansas
Format
82 pages
Type
Thesis
Degree Level
M.A.
Discipline
Mathematics
Rights
Copyright held by the author.
Metadata
Show full item recordAbstract
In 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.
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- Mathematics Dissertations and Theses [179]
- Theses [3944]
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