Asymptotics in time for nonlinear nonlocal Shrödinger equations with a source

Iliya A. SHISHMAREV; Masayoshi TSUTSUMI; Elena I. KAIKINA

doi:10.2969/jmsj/05120463

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April, 1999 Asymptotics in time for nonlinear nonlocal Shrödinger equations with a source

Iliya A. SHISHMAREV, Masayoshi TSUTSUMI, Elena I. KAIKINA

J. Math. Soc. Japan 51(2): 463-483 (April, 1999). DOI: 10.2969/jmsj/05120463

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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Iliya A. SHISHMAREV. Masayoshi TSUTSUMI. Elena I. KAIKINA. "Asymptotics in time for nonlinear nonlocal Shrödinger equations with a source." J. Math. Soc. Japan 51 (2) 463 - 483, April, 1999. https://doi.org/10.2969/jmsj/05120463