J. Holmes

activity

20162021

most citedNonuniform dependence on initial data for compressible gas dynamics: The Cauchy problem on

R^{2}

1 citations · 2 across the 2 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AP2020★ 1 cited

Continuity of the data-to-solution map for the FORQ equation in Besov Spaces

John Holmes, Feride Tiglay, Ryan Thompson

For Besov spaces $B^s_{p,r}(\rr)$ with $s > max {2 + \frac{1}{p}, \frac{5}{2}}$ , $p \in (1, \infty]$ and $r \in [1, \infty)$ , it is proved that the data-to-solution map for the FORQ equ…

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 $a \neq = 0$ , it is proved that there exist initi…