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 2019Show all

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math.AP2019

Strichartz Estimates for the Schrödinger Equation with a Measure-Valued Potential

M. Burak Erdogan, Michael Goldberg, William R. Green

We prove Strichartz estimates for the Schrödinger equation in $R^{n}$ , $n \geq 3$ , with a Hamiltonian $H = - Δ + μ$ . The perturbation $μ$ is a compactly supported measure in $\m…

math.AP2019★ 29 cited

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

Burak Erdogan, William R. Green, Ebru Toprak

We study the fourth order Schrödinger operator $H = (- Δ)^{2} + V$ for a short range potential in three space dimensions. We provide a full classification of zero energy resonances and st…