2 papers
math.AP2020
Non-uniqueness for the ab-family of equations
John Holmes, Rajan Puri
We study the cubic ab-family of equations, which includes both the Fokas-Olver-Rosenau-Qiao (FORQ) and the Novikov (NE) equations. For , it is proved that there exist initi…
math.AP2016
Well-posedness and Continuity Properties of the Fornberg-Whitham Equation in Besov Spaces
John Holmes, Ryan C. Thompson
In this paper, we prove well-posedness of the Fornberg-Whitham equation in Besov spaces in both the periodic and non-periodic cases. This will imply the existence and u…