William R. Green

activity

20122025

most citedDispersive Estimates for higher dimensional Schrödinger Operators with threshold eigenvalues I: The odd dimensional case

50 citations · 466 across the 27 of their papers we have counts for

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Showing 2018Show all

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math.AP2018★ 26 cited

On the Fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances

William R. Green, Ebru Toprak

We study the fourth order Schrödinger operator $H = (- Δ)^{2} + V$ for a decaying potential $V$ in four dimensions. In particular, we show that the $t^{- 1}$ decay rate holds in the $L^1\t…

math.AP2018★ 2 cited

The Massless Dirac Equation in Two Dimensions: Zero-Energy Obstructions and Dispersive Estimates

Burak Erdogan, Michael Goldberg, William R. Green

We investigate $L^{1} \to L^{\infty}$ dispersive estimates for the massless two dimensional Dirac equation with a potential. In particular, we show that the Dirac evolution satisfies th…