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Two Topics in the Theory of Nonlinear Schrodinger Equations

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서명/저자사항Two Topics in the Theory of Nonlinear Schrodinger Equations.
개인저자Fennell, James.
단체저자명New York University. Mathematics.
발행사항[S.l.]: New York University., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항185 p.
기본자료 저록Dissertation Abstracts International 79-12B(E).
Dissertation Abstract International
ISBN9780438171312
학위논문주기Thesis (Ph.D.)--New York University, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
Adviser: Pierre Germain.
요약This thesis is composed of two works that are both within the broad field of non-linear Schrodinger equations.
요약The first work is a study of two non-local Hamiltonian PDEs set on the real line that arise naturally as approximating equations for the nonlinear Schrodinger equation with harmonic trapping (quintic and cubic respectively). We begin by proving
요약The second work concerns the Schrodinger maps equation, which generalizes the linear Schrodinger equation to non-Euclidean domains. We are specifically concerned with the Schrodinger maps equation for equivariant maps from Euclidean space to com
일반주제명Mathematics.
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