43 citations · 108 across the 17 of their papers we have counts for
Showing math.CAShow all
3 papers · 1 filter
math.CA2017★ 43 cited
A note on pointwise convergence for the Schrödinger equation
Renato Lucà, Keith Rogers
We consider Carleson's problem regarding pointwise convergence for the Schrödinger equation. Bourgain recently proved that there is initial data, in with $s<\fr…
math.CA2015★ 11 cited
An improved necessary condition for the Schrödinger maximal estimate
Renato Lucà, Keith Rogers
We improve the necessary condition for Carleson's problem regarding convergence for the Schrödinger equation in dimensions . We prove that if the solution converges almost…
math.CA2015
Average decay of the Fourier transform of measures with applications
Renato Lucà, Keith Rogers
We consider spherical averages of the Fourier transform of fractal measures and improve both the upper and lower bounds on the rate of decay. Maximal estimates with respect to frac…