David Beltran

activity

20142023

most citedVariable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds

42 citations · 104 across the 15 of their papers we have counts for

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3 papers · 1 filter

math.AP2022★ 5 cited

$L^{p} - L^{q}$ local smoothing estimates for the wave equation via $k$ -broad Fourier restriction

David Beltran, Olli Saari

We explore the connection between $k$ -broad Fourier restriction estimates and sharp regularity $L^{p} - L^{q}$ local smoothing estimates for the solutions of the wave equation in $\mathb…

math.AP2018

Sharp local smoothing estimates for Fourier integral operators

David Beltran, Jonathan Hickman, Christopher D. Sogge

The theory of Fourier integral operators is surveyed, with an emphasis on local smoothing estimates and their applications. After reviewing the classical background, we describe so…

math.AP2018★ 42 cited

Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds

David Beltran, Jonathan Hickman, Christopher D. Sogge

The sharp Wolff-type decoupling estimates of Bourgain--Demeter are extended to the variable coefficient setting. These results are applied to obtain new sharp local smoothing estim…

Lp−Lq local smoothing estimates for the wave equation via k-broad Fourier restriction

Sharp local smoothing estimates for Fourier integral operators

Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds

$L^{p} - L^{q}$ local smoothing estimates for the wave equation via $k$ -broad Fourier restriction