Abstract
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 in one space dimension, where (namely, is a critical or subcritical exponent) and is a complex constant satisfying Im and . We present the time decay estimates and the large-time asymptotics of the solution for arbitrarily large initial data, when “ ” or “ and is suitably close to ”.
Citation
Naoyasu KITA. Akihiro SHIMOMURA. "Large time behavior of solutions to Schrödinger equations with a dissipative nonlinearity for arbitrarily large initial data." J. Math. Soc. Japan 61 (1) 39 - 64, January, 2009. https://doi.org/10.2969/jmsj/06110039
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