On the Cauchy problem for a modified Camassa–Holm equation

Authors

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

Document Type

Article

Publication Date

12-2020

Abstract

In this paper, we first study the local well-posedness for the Cauchy problem of a modified Camassa–Holm equation in nonhomogeneous Besov spaces. Then we obtain a blow-up criteria and present a blow-up result for the equation. Finally, with proving the norm inflation we show the ill-posedness occurs to the equation in critical Besov spaces.

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Recommended Citation

Luo, Zhaonan, Zhijun Qiao, and Zhaoyang Yin. "On the Cauchy problem for a modified Camassa–Holm equation." Monatshefte für Mathematik 193, no. 4 (2020): 857-877. https://doi.org/10.1007/s00605-020-01426-3

Publication Title

Monatshefte für Mathematik

DOI

10.1007/s00605-020-01426-3