Global existence and blow-up phenomena for a periodic modified Camassa–Holm equation (MOCH)

Authors

Zhaonan Luo
Zhijun Qiao, The University of Texas Rio Grande ValleyFollow
Zhaoyang Yin

Document Type

Article

Publication Date

2022

Abstract

In this paper, we study global existence and blow-up for a periodic modified Camassa–Holm equation in nonhomogeneous Sobolev spaces. Also, we provide a key blow-up criteria to investigate norm inflation and ill-posedness problem for the equation in the critical Sobolev space.

Comments

Original published version available at https://doi.org/10.1080/00036811.2020.1849633

Recommended Citation

Luo, Zhaonan, Zhijun Qiao, and Zhaoyang Yin. "Global existence and blow-up phenomena for a periodic modified Camassa–Holm equation (MOCH)." Applicable Analysis 101, no. 9 (2022): 3432-3444. https://doi.org/10.1080/00036811.2020.1849633

Publication Title

Applicable Analysis

DOI

10.1080/00036811.2020.1849633