The Cauchy problem for the generalized Korteweg-de Vries-Benjamin-Ono equation with low regularity data.

DOI10.1007/s10114-005-0574-9zbMath1088.35059OpenAlexW1994289186MaRDI QIDQ2581256

Zhaohui Huo, Bo-ling Guo

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0574-9

zbMATH Keywords

Fourier restriction normlimit behaviorlow regularity solutiongeneralized Korteweg-de Vries-Benjamin-Ono equation

Mathematics Subject Classification ID

Related Items (2)

Pointwise convergence problem of the Korteweg-de Vries-Benjamin-Ono equation ⋮ On the propagation of regularity and decay of solutions to the Benjamin equation

Cites Work

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• On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations
• Well-posedness results for the generalized Benjamin-Ono equation with small initial data.
• Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
• A new kind of solitary wave
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• On the Generalized Benjamin-Ono Equation
• GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H¹(R)
• A bilinear estimate with applications to the KdV equation

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