2 papers
math.AP2026
Global well-posedness for nonlinear generalized Camassa-Holm equation
Nesibe Ayhan, Nilay Duruk Mutlubas, Bao Quoc Tang
We establish local and global well-posedness for the Cauchy problem of a generalized Camassa-Holm equation where orders of the momentum and the nonlinearity can be arbitrarily high…
math.AP2023
On the Cauchy Problem for the Dispersion Generalized Camassa-Holm Equation
Nesibe Ayhan, Nilay Duruk Mutlubas
In this paper, we establish local well-posedness of the Cauchy problem for a recently proposed dispersion generalized Camassa-Holm equation by using Kato's semigroup approach for q…