TY - CONF
T1 - Classical Solutions of the Generalized Camassa-Holm Equation
AU - Thompson, Ryan C.
AB - 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.
KW - Camassa-Holm equation
KW - Classical solutions
KW - Partial Differential Equations
KW - Well-posedness
KW - Shallow water wave equations
PY - 2022
PB - unav
N1 - *Author Biography: *

Ryan C. Thompson Ph.D. (Mathematics) University of Notre Dame

ER -