Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Asymptotics in time for nonlinear nonlocal Shrödinger equations with a source
Iliya A. SHISHMAREV, Masayoshi TSUTSUMI, Elena I. KAIKINA
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Keywords: Asymptotics in time, nonlinear Schrödinger equation, Cauchy problem
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1999 Volume 51 Issue 2 Pages 463-483

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Abstract
We consider the asymptotic behavior of the solution of the Cauchy problem for the nonlinear nonlocal Shrödinger equation (NNS) with a source. The source in the NNS equation makes essential alterations to the asymptotic behavior. We study the cases of both small and large initial data.
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