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Large time behavior of solutions to Schrödinger equations with a dissipative nonlinearity for arbitrarily large initial data
We study the asymptotic behavior in time of solutions to the Cauchy problem of nonlinear Schrödinger equations with a long-range dissipative nonlinearity given by λ | u | p − 1 u in one space dimension, where 1 < p ≤ 3 (namely, p is a critical or subcritical exponent) …