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• W4224238738 abstract "<p style='text-indent:20px;'>We consider the initial value problem for cubic derivative nonlinear Schrödinger equations possessing weakly dissipative structure in one space dimension. We show that the small data solution decays like <inline-formula><tex-math id=M2>begin{document}$ O((log t)^{-1/4}) $end{document}</tex-math></inline-formula> in <inline-formula><tex-math id=M3>begin{document}$ L^2 $end{document}</tex-math></inline-formula> as <inline-formula><tex-math id=M4>begin{document}$ tto +infty $end{document}</tex-math></inline-formula>. Furthermore, we find that this <inline-formula><tex-math id=M5>begin{document}$ L^2 $end{document}</tex-math></inline-formula>-decay rate is optimal by giving a lower estimate of the same order." @default.
• W4224238738 created "2022-04-26" @default.
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• W4224238738 date "2022-01-01" @default.
• W4224238738 modified "2023-10-18" @default.
• W4224238738 title "Upper and lower $ L^2 $-decay bounds for a class of derivative nonlinear Schrödinger equations" @default.
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• W4224238738 doi "https://doi.org/10.3934/dcds.2022129" @default.
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