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Article
Local Well-Posedness of Periodic Fifth Order KdV-Type Equations
Journal of Geometric Analysis (2015)
  • Yi Hu, Georgia Southern University
  • Xiaochun Li, University of Illinois at Urbana-Champaign
Abstract
In this paper, the local well-posedness of periodic fifth order dispersive equation with nonlinear term P1(u)∂xu + P2(u)∂xu∂xu. Here P1(u) and P2(u) are polynomials of u. We also get some new Strichartz estimates.
Keywords
  • Analysis of PDEs (math AP),
  • Fifth order dispersive equations,
  • Local well-posedness
Disciplines
Publication Date
April, 2015
DOI
10.1007/s12220-013-9443-4
Publisher Statement
This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the author must have permission to distribute the work or the work must be available under the Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration. The publisher's final edited version of this article is available at The Journal of Geometric Analysis.
Citation Information
Yi Hu and Xiaochun Li. "Local Well-Posedness of Periodic Fifth Order Kdv Type Equations" Journal of Geometric Analysis (2013).
doi:10.1007/s12220-013-9443-4
source:http://arxiv.org/abs/1108.5394
Available at: http://works.bepress.com/yi_hu/2