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

Jun Ichi Segata; Derek L. Smith

doi:10.1007/s10884-015-9499-x

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

Jun Ichi Segata, Derek L. Smith

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

2 Citations (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 language	English
Pages (from-to)	701-736
Number of pages	36
Journal	Journal of Dynamics and Differential Equations
Volume	29
Issue number	2
DOIs	https://doi.org/10.1007/s10884-015-9499-x
Publication status	Published - Jun 1 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis

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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.",

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

Abstract

All Science Journal Classification (ASJC) codes

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