Discrete fourier restriction associated with KdV equations

Yi Hu; Xiaochun Li

doi:10.2140/apde.2013.6.859

Discrete fourier restriction associated with KdV equations

Yi Hu, Xiaochun Li

Mathematical Sciences

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

13 Scopus citations

Abstract

In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz estimates are obtained. We also establish the local well-posedness for the periodic generalized Korteweg-de Vries equation with nonlinear term F(u)∂_xu provided F C⁵ and the initial data Φ H^s with s > 1=2.

Original language	English
Pages (from-to)	859-892
Number of pages	34
Journal	Analysis and PDE
Volume	6
Issue number	4
DOIs	https://doi.org/10.2140/apde.2013.6.859
State	Published - 2013

Scopus Subject Areas

Analysis
Numerical Analysis
Applied Mathematics

Keywords

Discrete fourier restriction
KdV
Local well-posedness

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10.2140/apde.2013.6.859

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title = "Discrete fourier restriction associated with KdV equations",

abstract = "In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz estimates are obtained. We also establish the local well-posedness for the periodic generalized Korteweg-de Vries equation with nonlinear term F(u)∂xu provided F C5 and the initial data Φ Hs with s > 1=2.",

keywords = "Discrete fourier restriction, KdV, Local well-posedness",

author = "Yi Hu and Xiaochun Li",

note = "Yi Hu and Xiaochun Li. {"}Discrete Fourier Restriction Associated with Kdv Equations{"} Analysis and Partial Differential Equations 6.4 (2013): 859-892. doi:10.2140/apde.2013.6.859 source:http://arxiv.org/abs/1108.5294 Available at: http://works.bepress.com/yi\_hu/4",

year = "2013",

doi = "10.2140/apde.2013.6.859",

language = "English",

volume = "6",

pages = "859--892",

journal = "Analysis and PDE",

issn = "2157-5045",

publisher = "Mathematical Sciences Publishers",

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TY - JOUR

T1 - Discrete fourier restriction associated with KdV equations

AU - Hu, Yi

AU - Li, Xiaochun

N1 - Yi Hu and Xiaochun Li. "Discrete Fourier Restriction Associated with Kdv Equations" Analysis and Partial Differential Equations 6.4 (2013): 859-892. doi:10.2140/apde.2013.6.859 source:http://arxiv.org/abs/1108.5294 Available at: http://works.bepress.com/yi_hu/4

PY - 2013

Y1 - 2013

N2 - In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz estimates are obtained. We also establish the local well-posedness for the periodic generalized Korteweg-de Vries equation with nonlinear term F(u)∂xu provided F C5 and the initial data Φ Hs with s > 1=2.

AB - In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz estimates are obtained. We also establish the local well-posedness for the periodic generalized Korteweg-de Vries equation with nonlinear term F(u)∂xu provided F C5 and the initial data Φ Hs with s > 1=2.

KW - Discrete fourier restriction

KW - KdV

KW - Local well-posedness

UR - https://www.scopus.com/pages/publications/84888774809

U2 - 10.2140/apde.2013.6.859

DO - 10.2140/apde.2013.6.859

M3 - Article

SN - 2157-5045

VL - 6

SP - 859

EP - 892

JO - Analysis and PDE

JF - Analysis and PDE

IS - 4

ER -

Discrete fourier restriction associated with KdV equations

Abstract

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Keywords

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