Workshops

Classification of asymptotic profiles for nonlinear Schroedinger equations with many excited states

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Tai-Peng Tsai

2011-08-29
10:30:00 - 11:20:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)



Consider a nonlinear Schroedinger equation in $R^3$ whose linear part has three or more eigenvalues satisfying some resonance conditions. Any solution with a small initial datum in $H^1 \cap L^1(R^3)$ converges at time infinity, locally in space, to either the vacuum, an excited state or a ground state. This is a joint work with Kenji Nakanishi and Tuoc Van Phan.

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