William R. Green

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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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math.AP2025

The $L^{p}$ -continuity of wave operators for fractional order Schrödinger operators

M. Burak Erdogan, Michael Goldberg, William Green

We consider fractional Schrödinger operators $H = (- Δ)^{α} + V (x)$ in $n$ dimensions with real-valued potential $V$ when $n > 2 α$ , $α > 1$ . We show that the wave operators extend to bounded…

math.AP2025

Dispersive estimates for fractional order Schrödinger operators

M. Burak Erdogan, Michael Goldberg, William Green

We prove dispersive bounds for fractional Schrödinger operators on $R^{n}$ of the form $H = (- Δ)^{α} + V$ with $V$ a real-valued, decaying potential and $α \in / N$ . We deri…

The Lp-continuity of wave operators for fractional order Schrödinger operators

Dispersive estimates for fractional order Schrödinger operators

The $L^{p}$ -continuity of wave operators for fractional order Schrödinger operators