Relaxation of Excited States in Nonlinear Schrödinger Equations
نویسندگان
چکیده
We consider a nonlinear Schrödinger equation in R3 with a bounded local potential. The linear Hamiltonian is assumed to have two bound states with the eigenvalues satisfying some resonance condition. Suppose that the initial data is small and is near some nonlinearexcited state. We give a sufficient condition on the initial data so that the solution to the nonlinear Schrödinger equation approaches to certain nonlinear ground state as the time tends to infinity.
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