Keywords

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

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.

Biography

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

Proposal Type

Event

Subject Area

Mathematics

UNG_Research_Thompson.pdf (687 kB)
Poster

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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.