Departmental Bulletin Paper Global Existence and Asymptotic Behavior of Solutions to Some Nonlinear Systems of Schrödinger Equations

Nakamura, Yoshihisa  ,  Shimomura, Akihiro  ,  Tonegawa, Satoshi

22 ( 3 ) 2015-07-15 , Graduate School of Mathematical Sciences, The University of Tokyo , Graduate School of Science and Technology, Kumamoto University , Graduate School of Mathematical Sciences, The University of Tokyo , College of Science and Technology, Nihon University
We study the global existence and the large time behavior of solutions to the coupled system of the Schrödinger equations with cubic nonlinearities in one space dimension. We construct modified wave operators to the system for small final data.

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