2015
DOI: 10.1007/s10884-015-9499-x
|View full text |Cite
|
Sign up to set email alerts
|

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

Abstract: Abstract. This paper considers the initial value problem for a class of fifth order dispersive models containing the fifth order KdV equationThe main results show that regularity or polynomial decay of the data on the positive half-line yields regularity in the solution for positive times. IntroductionIn this work we study propagation of regularity and persistence of decay results for a class of fifth order dispersive models. For concreteness, the main theorems are stated for initial value problems of the form… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
4
0

Year Published

2018
2018
2025
2025

Publication Types

Select...
6
1

Relationship

0
7

Authors

Journals

citations
Cited by 9 publications
(4 citation statements)
references
References 22 publications
0
4
0
Order By: Relevance
“…Segata and Smith [23] extend the results of [12] to the following fifth order dispersive equation with a 1 , a 2 , a 3 be three constants…”
Section: Introductionmentioning
confidence: 64%
See 1 more Smart Citation
“…Segata and Smith [23] extend the results of [12] to the following fifth order dispersive equation with a 1 , a 2 , a 3 be three constants…”
Section: Introductionmentioning
confidence: 64%
“…Let us first construct our cutoff functions, the construction of this family of cutoff functions is motivated by Segata and Smith [23].…”
Section: Preliminariesmentioning
confidence: 99%
“…Remark 6.5. For further propagation of regularity results in either higher or one dimensional models we refer to [33], [99], [100], and [110].…”
Section: Additional Commentsmentioning
confidence: 99%
“…They proved that extra regularity in the initial data localized on the right-hand side of the real line travels to the left with an infinite speed. Since this pioneering work, the study of the propagation of regularity has been investigated for other dispersive equations: In dimension n = 1, see [20,25,26,31,41,45,47,52,62], and in higher dimensions, n ≥ 2, see [18,27,43,47,54,55,56]. For a more recent survey about the study of the propagation of the regularity principle, we refer to [44].…”
Section: Introductionmentioning
confidence: 99%