Large time behavior of solutions to Schrodinger equations with a dissipative nonlinearity for arbitrarily large initial data

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概要

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• 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-1u in one space dimension, where 1 < p ≤ 3 (namely, p is a critical or subcritical exponent) and λ is a complex constant satisfying Im λ < 0 and ((p-1)/2√p) |Re λ| ≤ |Im λ|. We present the time decay estimates and the large-time asymptotics of the solution for arbitrarily large initial data, when “p = 3” or p < 3 and p is suitably close to 3”.

• 社団法人 日本数学会の論文
• 2009-01-01

著者

• Shimomura Akihiro

  Department Of Kidney Disease And Hypertension Osaka General Medical Center

• Shimomura Akihiro

  Department Of Mathematics And Information Sciences Tokyo Metropolitan University

• KITA Naoyasu

  Faculty of Education and Culture University of Miyazaki

• Kita Naoyasu

  Faculty Of Education And Culture Miyazaki University

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