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Orbital Stability of Ground State Solutions to the Nonlinear Schrödinger Equation

Klipfel, Joel Jacob
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Abstract
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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2015-08-31
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University of Kansas
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Mathematics Dissertations and Theses
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Klipfel_ku_0099M_14228_DATA_1.pdf
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Mathematics, ground state solutions, NLS, Nonlinear Schrödinger Equation, stability, standing waves
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https://hdl.handle.net/1808/19541
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