A Note on the Generalized Camassa-Holm Equation

Joint Authors

Wu, Yun
Zhao, Ping

Source

Journal of Function Spaces

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-12-25

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

We study the generalized Camassa-Holm equation which contains the Camassa-Holm (CH) equation and Novikov equation as special cases with the periodic boundary condition.

We get a blow-up scenario and obtain the global existence of strong and weak solutions under suitable assumptions, respectively.

Then, we construct the periodic peaked solutions and apply them to prove the ill-posedness in H s with s < 3 / 2 .

American Psychological Association (APA)

Wu, Yun& Zhao, Ping. 2014. A Note on the Generalized Camassa-Holm Equation. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1040746

Modern Language Association (MLA)

Wu, Yun& Zhao, Ping. A Note on the Generalized Camassa-Holm Equation. Journal of Function Spaces No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1040746

American Medical Association (AMA)

Wu, Yun& Zhao, Ping. A Note on the Generalized Camassa-Holm Equation. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1040746

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1040746