3 papers
math.AP2023
Ill-posedness for the Cauchy problem of the modified Camassa-Holm equation in
Zhen He, Zhaoyang Yin
In this paper, we prove the norm inflation and get the ill-posedness for the modified Camassa-Holm equation in . Therefore we completed all well-posedness and ill-p…
math.AP2023
Uniqueness of conservative solutions to the the modified Camassa-Holm equation via Characteristics
Zhen He, Zhaoyang Yin
In this paper,for a given conservative solution, we introduce a set of auxiliary variables tailored to this particular solution, and prove that these variables satisfy a particular…
math.AP2023
Persistence property and the local well-posedness of the modified Camassa-Holm equation in critical Besov equation
Zhen He, Zhaoyang Yin
In this paper, we first establish the local well-posednesss for the Cauchy problem of a modified Camassa-Holm (MOCH) equation in critical Besov spaces with $1…