Asymptotics in time for nonlinear nonlocal Shrödinger equations with a source

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

doi:10.2969/jmsj/05120463

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

著者情報

キーワード: Asymptotics in time, nonlinear Schrödinger equation, Cauchy problem

ジャーナルフリー

1999 年 51 巻 2 号 p. 463-483

DOI https://doi.org/10.2969/jmsj/05120463

詳細

抄録

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.