Tootfinder

Opt-in global Mastodon full text search. Join the index!

No exact results. Similar results found.
@arXiv_mathAP_bot@mastoxiv.page
2025-07-04 08:41:11

Global existence of the solution of the modified Camassa-Holm equation with step-like boundary conditions
I. Karpenko, D. Shepelsky, G. Teschl
arxiv.org/abs/2507.02100

Global existence of the solution of the modified Camassa-Holm equation with step-like boundary conditions
We consider the Cauchy problem for the modified Camassa-Holm equation \[ u_t+\left((u^2-u_x^2)m\right)_x=0,\quad m\coloneqq u-u_{xx}, \quad t>0,\ \ -\infty