Blow-up criteria for the generalized Degasperis–Procesi equation

ABSTRACT

In this paper, we investigate the initial value problem of the generalized Degasperis–Procesi equation. We establish some new local-in-space blow-up criterion. Our results extend the corresponding results in the previous literature.

Keywords:

• Generalized Degasperis–Procesi equation
• blow-up
• local well-posedness
• local-in-space

AMS CLASSIFICATIONS:

• 35D05
• 35G25
• 35L05

Acknowledgments

The author thank the references for their valuable comments.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Natural Science Foundation of Hunan Province [No. 2018JJ2272], by the Scientific Research Fund of Hunan Provincial Education Department [No. 18C0721, No. 19B381] and Doctoral Research Fund of Hunan University of Arts and Science [No. 16BSQD04].