The University of Arizona

Global Existence and Soliton Resolution for the derivative nonlinear Schrodinger (DNLS) equation in 1 dimension

Global Existence and Soliton Resolution for the derivative nonlinear Schrodinger (DNLS) equation in 1 dimension

Series: Analysis, Dynamics, and Applications Seminar
Location: Math 402
Presenter: Robert Jenkins, Department of Mathematics, University of Arizona

In this talk I will discuss some recent work in which we exploit the complete integrability of the DNLS equation to establish global existence for generic data in the weighted Sobolev space of functions with two (weak) derivatives and two moments in L^2. We will go on to show that at large times the solution will resolve into a train of solitons plus a decaying dispersive component (radiation).

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