Weighted low-regularity solutions of the KP-I initial-value problem

J. Colliander; A. D. Ionescu; C. E. Kenig; G. Staffilani

doi:10.3934/dcds.2008.20.219

Weighted low-regularity solutions of the KP-I initial-value problem

J. Colliander, A. D. Ionescu, C. E. Kenig, G. Staffilani

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper we correct the proofs of some statements that Colliander, Kenig and Staffilani made for the KP-I initial-value problem in [2]. These corrections actually give stronger well-posedness results than the one claimed in the above mentioned paper. The new proofs are inspired by those used by Ionescu-Kenig ([3, 4, 5]) in works on the Benjamin-Ono equation and on the Schrödinger map problems.

Original language	English (US)
Pages (from-to)	219-258
Number of pages	40
Journal	Discrete and Continuous Dynamical Systems
Volume	20
Issue number	2
DOIs	https://doi.org/10.3934/dcds.2008.20.219
State	Published - Feb 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Keywords

Dispersion function
KP-I equation
Well-posedness

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10.3934/dcds.2008.20.219

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keywords = "Dispersion function, KP-I equation, Well-posedness",

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AU - Colliander, J.

AU - Ionescu, A. D.

AU - Kenig, C. E.

AU - Staffilani, G.

PY - 2008/2

Y1 - 2008/2

N2 - In this paper we correct the proofs of some statements that Colliander, Kenig and Staffilani made for the KP-I initial-value problem in [2]. These corrections actually give stronger well-posedness results than the one claimed in the above mentioned paper. The new proofs are inspired by those used by Ionescu-Kenig ([3, 4, 5]) in works on the Benjamin-Ono equation and on the Schrödinger map problems.

AB - In this paper we correct the proofs of some statements that Colliander, Kenig and Staffilani made for the KP-I initial-value problem in [2]. These corrections actually give stronger well-posedness results than the one claimed in the above mentioned paper. The new proofs are inspired by those used by Ionescu-Kenig ([3, 4, 5]) in works on the Benjamin-Ono equation and on the Schrödinger map problems.

KW - Dispersion function

KW - KP-I equation

KW - Well-posedness

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JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 2

ER -

Weighted low-regularity solutions of the KP-I initial-value problem

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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