In this poster, well-posedness in C^1(R) (a.k.a. classical solutions) for a generalized Camassa- Holm equation (g-kbCH) having (k + 1)-degree nonlinearities is explored. This result holds for the Camassa-Holm, the Degasperi-Procesi and the Novikov equations, which improves upon earlier results in Sobolev and Besov spaces.
- Date submitted
18 July 2022
- Additional information
Ryan C. Thompson Ph.D. (Mathematics) University of Notre Dame