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 2016 · math.APShow all

3 papers · 2 filters

math.AP2016★ 21 cited

Dispersive estimates for Dirac Operators in dimension three with obstructions at threshold energies

Burak Erdogan, William R. Green, Ebru Toprak

We investigate $L^{1} \to L^{\infty}$ dispersive estimates for the three dimensional Dirac equation with a potential. We also classify the structure of obstructions at the thresholds of…

math.AP2016★ 9 cited

On the $L^{p}$ boundedness of wave operators for four-dimensional Schrödinger Operators with a threshold eigenvalue

Michael Goldberg, William R. Green

Let $H = - Δ + V$ be a Schrödinger operator on $L^{2} (R^{4})$ with real-valued potential $V$ , and let $H_{0} = - Δ$ . If $V$ has sufficient pointwise decay, the wave operators $W_{\pm}=s-…

math.AP2016★ 17 cited

The Dirac equation in two dimensions: Dispersive estimates and classification of threshold obstructions

M. Burak Erdogan, William R. Green

We investigate dispersive estimates for the two dimensional Dirac equation with a potential. In particular, we show that the Dirac evolution satisfies a $t^{- 1}$ decay rate as an o…

Dispersive estimates for Dirac Operators in dimension three with obstructions at threshold energies

On the Lp boundedness of wave operators for four-dimensional Schrödinger Operators with a threshold eigenvalue

The Dirac equation in two dimensions: Dispersive estimates and classification of threshold obstructions

On the $L^{p}$ boundedness of wave operators for four-dimensional Schrödinger Operators with a threshold eigenvalue