Cauchy problem for the Ostrovsky equation in spaces of low regularity

DOI10.1016/j.jde.2006.04.007zbMath1110.35075OpenAlexW1995041654MaRDI QIDQ860752

Pedro Isaza J., Jorge Mejía L.

Publication date: 9 January 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.04.007

zbMATH Keywords

Sobolev spacenonlinear dispersive equationslocal solutionsBourgain space

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Cites Work

• Local and global well-posedness for the Ostrovsky equation
• Cauchy problem for the Ostrovsky equation
• A bilinear estimate with applications to the KdV equation

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