Propagation of Regularity and Persistence of Decay for Fifth Order Dispersive Models

Junichi Segata, Derek L. Smith

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

This paper considers the initial value problem for a class of fifth order dispersive models containing the fifth order KdV equation (Formula presented.). The main results show that regularity or polynomial decay of the data on the positive half-line yields regularity in the solution for positive times.

Original languageEnglish
Pages (from-to)701-736
Number of pages36
JournalJournal of Dynamics and Differential Equations
Volume29
Issue number2
DOIs
Publication statusPublished - Jun 1 2017
Externally publishedYes

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Dispersive Order
Persistence
Fifth-order KdV Equation
Regularity
Decay
Propagation
Polynomial Decay
Initial Value Problem
Half line
Model

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

Propagation of Regularity and Persistence of Decay for Fifth Order Dispersive Models. / Segata, Junichi; Smith, Derek L.

In: Journal of Dynamics and Differential Equations, Vol. 29, No. 2, 01.06.2017, p. 701-736.

Research output: Contribution to journal › Article

Segata, J & Smith, DL 2017, 'Propagation of Regularity and Persistence of Decay for Fifth Order Dispersive Models', Journal of Dynamics and Differential Equations, vol. 29, no. 2, pp. 701-736. https://doi.org/10.1007/s10884-015-9499-x
Segata J, Smith DL. Propagation of Regularity and Persistence of Decay for Fifth Order Dispersive Models. Journal of Dynamics and Differential Equations. 2017 Jun 1;29(2):701-736. https://doi.org/10.1007/s10884-015-9499-x
Segata, Junichi ; Smith, Derek L. / Propagation of Regularity and Persistence of Decay for Fifth Order Dispersive Models. In: Journal of Dynamics and Differential Equations. 2017 ; Vol. 29, No. 2. pp. 701-736.
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