Low regularity solution for a nonlocal perturbation of KdV equation

DOI10.1007/s00033-007-6086-yzbMath1157.35095OpenAlexW2121684084MaRDI QIDQ957848

Yueling Jia, Zhaohui Huo

Publication date: 1 December 2008

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-007-6086-y

zbMATH Keywords

Fourier restriction normlow regularity solutionnonlocal perturbation of KdV equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Perturbations in context of PDEs (35B20)

Related Items (4)

The Cauchy problem for quadratic and cubic Ostrovsky equation with negative dispersion ⋮ Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index ⋮ The Cauchy problem for the Ostrovsky equation with positive dispersion ⋮ The Cauchy problem for the Ostrovsky equation with negative dispersion at the critical regularity

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