Asymptotic behavior for a class of derivative nonlinear Schrödinger systems

Soichiro Katayama () and Daisuke Sakoda ()
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Soichiro Katayama: Osaka University
Daisuke Sakoda: Osaka University

Partial Differential Equations and Applications, 2020, vol. 1, issue 3, 1-41

Abstract: Abstract We consider the initial value problem for systems of derivative nonlinear Schrödinger equations with nonlinearity of the critical power in one and two space dimensions. Li–Sunagawa and Sakoda–Sunagawa introduced a sufficient condition, which is weaker than the so-called null condition, for the small data global existence of solutions. In this paper, we investigate the asymptotic behavior of global solutions under a condition related to the above one.

Keywords: Nonlinear Schrödinger equation; Asymptotic behavior; Null condition; 35Q55; 35B50 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s42985-020-00012-4

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