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Discrete Fourier
restriction associated with KdV equations
Yi Hu and Xiaochun Li |
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Vol. 6 (2013), No. 4, 859–892
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Abstract |
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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 provided and the initial data with . |
Keywords
discrete Fourier restriction, KdV, local well-posedness
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Mathematical Subject Classification 2010
Primary: 35G25
Secondary: 42A16
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Milestones
Received: 13 October 2011
Revised: 16 June 2012
Accepted: 21 July 2012
Published: 21 August 2013
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Authors |
| Yi Hu | |
| Department of Mathematics University of Illinois at Urbana-Champaign 1409 W. Green Street Urbana, IL 61801 United States |
Department of Mathematical
Sciences Georgia Southern University 65 Georgia Ave. Room 3008 Statesboro, GA 30458 United States |
| Xiaochun Li | |
| Department of Mathematics University of Illinois at Urbana-Champaign 1409 W. Green Street Urbana, IL 61801 United States |
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