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NCTS Interdisciplinary Research Seminar
14:20 - 16:20, June 22, 2018 (Friday)
Room 201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
The Nonlinear Schrodinger Equation, Applications, Methods and Open Problems
Eduard-Wilhelm Kirr (University of Illinois at Urbana-Champaign)


First, I will briefly discuss a few applications where the nonlinear Schrodinger equations appears as a model. Second, I will discuss existence and uniqueness of initial value problems, existence of special solutions: solitons and bound states, and their role in the asymptotic behavior of problems with arbitrary initial data. At the end I will present open problems regarding the asymptotic completeness conjecture which states that any initial data evolves into a superposition of special solutions and a part that radiates to infinity.


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