Differential and Integral Equations

Local well-posedness for dispersion-generalized Benjamin-Ono equations

J. Colliander, C. Kenig, and G. Staffilani

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Abstract

In this paper we study local well-posedness in the energy space for a family of dispersive equations that can be seen as dispersive "interpolations" between the KdV and the Benjamin-Ono equation.

Article information

Source
Differential Integral Equations, Volume 16, Number 12 (2003), 1441-1472.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060496

Mathematical Reviews number (MathSciNet)
MR2029909

Zentralblatt MATH identifier
1075.35548

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction [See also 35Q30]

Citation

Colliander, J.; Kenig, C.; Staffilani, G. Local well-posedness for dispersion-generalized Benjamin-Ono equations. Differential Integral Equations 16 (2003), no. 12, 1441--1472. https://projecteuclid.org/euclid.die/1356060496


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