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- W4319316404 abstract "Abstract In this article, we consider the kinetic derivative nonlinear Schrödinger equation (KDNLS), which is a one-dimensional nonlinear Schrödinger equation with a cubic derivative nonlinear term containing the Hilbert transformation. For the Cauchy problem, both on the real line and on the circle, we apply the short-time Fourier restriction method to establish a priori estimate for small and smooth solutions in Sobolev spaces $H^{s}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>H</mml:mi> <mml:mi>s</mml:mi> </mml:msup> </mml:math> with $s>1/4$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>s</mml:mi> <mml:mo>></mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mn>4</mml:mn> </mml:math> ." @default.
- W4319316404 created "2023-02-08" @default.
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- W4319316404 date "2023-02-06" @default.
- W4319316404 modified "2023-10-14" @default.
- W4319316404 title "Low regularity a priori estimate for KDNLS via the short-time Fourier restriction method" @default.
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- W4319316404 doi "https://doi.org/10.1186/s13662-023-03756-6" @default.
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