Local Well-Posedness of Periodic Fifth-Order KdV-Type Equations

Yi Hu; Xiaochun Li

doi:10.1007/s12220-013-9443-4

Local Well-Posedness of Periodic Fifth-Order KdV-Type Equations

Yi Hu, Xiaochun Li

Mathematics

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

Abstract

In this paper, the local well-posedness of periodic fifth-order dispersive equations with nonlinear term P₁(u)∂_xu+P₂(u)∂_xu∂_xu is established. Here P₁(u) and P₂(u) are polynomials of u. We also get some new Strichartz estimates.

Original language	English (US)
Pages (from-to)	709-739
Number of pages	31
Journal	Journal of Geometric Analysis
Volume	25
Issue number	2
DOIs	https://doi.org/10.1007/s12220-013-9443-4
State	Published - 2015

Keywords

Fifth order dispersive equations
Local well-posedness

ASJC Scopus subject areas

Geometry and Topology

Online availability

10.1007/s12220-013-9443-4

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abstract = "In this paper, the local well-posedness of periodic fifth-order dispersive equations with nonlinear term P1(u)∂xu+P2(u)∂xu∂xu is established. Here P1(u) and P2(u) are polynomials of u. We also get some new Strichartz estimates.",

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AU - Hu, Yi

AU - Li, Xiaochun

PY - 2015

Y1 - 2015

N2 - In this paper, the local well-posedness of periodic fifth-order dispersive equations with nonlinear term P1(u)∂xu+P2(u)∂xu∂xu is established. Here P1(u) and P2(u) are polynomials of u. We also get some new Strichartz estimates.

AB - In this paper, the local well-posedness of periodic fifth-order dispersive equations with nonlinear term P1(u)∂xu+P2(u)∂xu∂xu is established. Here P1(u) and P2(u) are polynomials of u. We also get some new Strichartz estimates.

KW - Fifth order dispersive equations

KW - Local well-posedness

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ER -

Local Well-Posedness of Periodic Fifth-Order KdV-Type Equations

Abstract

Keywords

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