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 2017 · math.APShow all

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math.AP2017★ 13 cited

Dispersive estimates for massive Dirac operators in dimension two

M. Burak Erdoğan, William R. Green, Ebru Toprak

We study the massive two dimensional Dirac operator with an electric potential. In particular, we show that the $t^{- 1}$ decay rate holds in the $L^{1} \to L^{\infty}$ setting if the th…

math.AP2017★ 17 cited

Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions

Burak Erdogan, Michael Goldberg, William R. Green

In this paper we consider Dirac operators in $R^{n}$ , $n \geq 2$ , with a potential $V$ . Under mild decay and continuity assumptions on $V$ and some spectral assumptions on the…

math.AP2017★ 17 cited

On the $L^{p}$ boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions

Burak Erdogan, Michael Goldberg, William R. Green

Let $H = - Δ + V$ be a Schrödinger operator on $L^{2} (R^{2})$ with real-valued potential $V$ , and let $H_{0} = - Δ$ . If $V$ has sufficient pointwise decay, the wave operators $W_{\pm}=s-…

Dispersive estimates for massive Dirac operators in dimension two

Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions

On the Lp boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions

On the $L^{p}$ boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions