19 citations · 42 across the 5 of their papers we have counts for
5 papers
Stability of trace theorems on the sphere
Neal Bez, Chris Jeavons, Tohru Ozawa +1
We prove stable versions of trace theorems on the sphere in with optimal constants, thus obtaining rather precise information regarding near-extremisers. We also obtain stabi…
Some sharp bilinear space-time estimates for the wave equation
Neal Bez, Chris Jeavons, Tohru Ozawa
We prove a family of sharp bilinear space-time estimates for the half-wave propagator. As a consequence, for radially symmetric initial data, we establish sharp estimates of this k…
A Sharp Sobolev--Strichartz estimate for the wave equation
Neal Bez, Chris Jeavons
We calculate the the sharp constant and characterise the extremal initial data in for the Sobolev--Strichartz estimate for…
On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type
Jonathan Bennett, Neal Bez, Chris Jeavons +1
We provide a comprehensive analysis of sharp bilinear estimates of Ozawa-Tsutsumi type for solutions u of the free Schrödinger equation, which give sharp control on in clas…
A sharp bilinear estimate for the Klein-Gordon equation in arbitrary space-time dimensions
Chris Jeavons
We prove a sharp bilinear inequality for the Klein-Gordon equation on $\sr^{d+1}$, for any . This extends work of Ozawa-Rogers and Quilodrán for the Klein-Gordon equation…