60 citations · 178 across the 31 of their papers we have counts for
5 papers · 1 filter
Extremisers for the trace theorem on the sphere
Neal Bez, Shuji Machihara, Mitsuru Sugimoto
We find all extremisers for the trace theorem on the sphere. We also provide a sharp extension for functions belonging to certain Sobolev spaces with angular regularity.
Optimal forward and reverse estimates of Morawetz and Kato-Yajima type with angular smoothing index
Neal Bez, Mitsuru Sugimoto
For the solution of the free Schrödinger equation, we obtain the optimal constants and characterise extremisers for forward and reverse smoothing estimates which are global in spac…
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…
Flow monotonicity and Strichartz inequalities
Jonathan Bennett, Neal Bez, Marina Iliopoulou
We identify complete monotonicity properties underlying a variety of well-known sharp Strichartz inequalities in euclidean space.
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…