Global well-posedness for kdv in sobolev spaces of negative index

J. Colliander; M. Keel; G. Staffilani; H. Takaoka; T. Ta; James Colliander; Markus Keel; Gigliola Staffilani; Hideo Takaoka; T. A.O. Terence

Global well-posedness for kdv in sobolev spaces of negative index

J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Ta, James Colliander, Markus Keel, Gigliola Staffilani, Hideo Takaoka, T. A.O. Terence

Mathematics

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36 Scopus citations

Abstract

initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial data in //S(R) for -3/10 < s.

Original language	English (US)
Pages (from-to)	XXXXVII-XXXXVIII
Journal	Electronic Journal of Differential Equations
Volume	2001
State	Published - Dec 1 2001

Keywords

Bilinear estimates
Korteweg-de vries equation
Nonlinear dispersive equations

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title = "Global well-posedness for kdv in sobolev spaces of negative index",

abstract = "initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial data in //S(R) for -3/10 < s.",

keywords = "Bilinear estimates, Korteweg-de vries equation, Nonlinear dispersive equations",

author = "J. Colliander and M. Keel and G. Staffilani and H. Takaoka and T. Ta and James Colliander and Markus Keel and Gigliola Staffilani and Hideo Takaoka and Terence, {T. A.O.}",

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language = "English (US)",

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T1 - Global well-posedness for kdv in sobolev spaces of negative index

AU - Colliander, J.

AU - Keel, M.

AU - Staffilani, G.

AU - Takaoka, H.

AU - Ta, T.

AU - Colliander, James

AU - Keel, Markus

AU - Staffilani, Gigliola

AU - Takaoka, Hideo

AU - Terence, T. A.O.

PY - 2001/12/1

Y1 - 2001/12/1

N2 - initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial data in //S(R) for -3/10 < s.

AB - initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial data in //S(R) for -3/10 < s.

KW - Bilinear estimates

KW - Korteweg-de vries equation

KW - Nonlinear dispersive equations

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SP - XXXXVII-XXXXVIII

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Global well-posedness for kdv in sobolev spaces of negative index

Abstract

Keywords

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