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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 19
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 6, December 2012
  4. Local well-posedness for the periodic higher order KdV type equations
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 6, December 2012
Existence of conformal metrics with prescribed scalar curvature on the four dimensional half sphere
Estimates for the ergodic measure and polynomial stability of plane stochastic curve shortening flow
Local well-posedness for the periodic higher order KdV type equations
Convergence of approximate solutions to an elliptic–parabolic equation without the structure condition
Large time behavior of weakly coupled systems of first-order Hamilton–Jacobi equations
Regularity results for eikonal-type equations with nonsmooth coefficients
Erratum to: Deterministic homogenization of weakly damped nonlinear hyperbolic-parabolic equations
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 5, October 2012
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 4, August 2012
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 3, June 2012
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 2, April 2012
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 1, February 2012
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Local well-posedness for the periodic higher order KdV type equations

Content Provider SpringerLink
Author Hirayama, Hiroyuki
Copyright Year 2011
Abstract Higher order KdV type equations are the equation replaced by a higher order derivative $${\partial_{x}^{2k+1}}$$ for the KdV equation. Recently, the local well-posedness result for these equations on torus have been given by Gorsky and Himonas (Math. Comput. Simul. 80:173–183, 2009). We extend this result by improving a bilinear estimate used in the Fourier restriction norm method.
Ending Page 693
Page Count 17
Starting Page 677
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 6
Volume Number 19
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2011-12-28
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword KdV-like equations (Korteweg-de Vries) Analysis KdV equation Fourier restriction norm Initial value problems for nonlinear higher-order equations Well-posedness Cauchy problem
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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