Proposal Type

Event

Keywords

Classical solutions, Camassa-Holm equation, Well-posedness, Shallow water wave equations, Partial Differential Equations

Subject Area

Mathematics

Description/Abstract

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.

Bio

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

UNG_Research_Thompson.pdf (687 kB)
Poster

Share

COinS
 

Classical Solutions of the Generalized Camassa-Holm Equation

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.