Multilinear estimates for periodic KdV equations, and applications

J. Colliander, M. Keel, Gigliola Staffilani, Hideo Takaoka, Terence Tao

Type: Article

Publication Date: 2003-09-12

Citations: 197

DOI: https://doi.org/10.1016/s0022-1236(03)00218-0

Abstract

We prove an endpoint multilinear estimate for the Xs,b spaces associated to the periodic Airy equation. As a consequence we obtain sharp local well-posedness results for periodic generalized KdV equations, as well as some global well-posedness results below the energy norm.

Locations

Journal of Functional Analysis - View
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - PDF
Journal of Functional Analysis - View
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arXiv (Cornell University) - PDF

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+ PDF	Introduction to Analytic Number Theory	1976	Tom M. Apostol
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+	Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension	1982	Jeffrey Rauch Michael C. Reed
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+ PDF	Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's	1995	Sergej B. Kuksin
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