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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Showing 2013 · math.APShow all

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math.AP2013★ 45 cited

Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy

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

We investigate $L^{1} (R^{4}) \to L^{\infty} (R^{4})$ dispersive estimates for the Schrödinger operator $H = - Δ + V$ when there are obstructions, a resonance or an eigenvalue, at…

math.AP2013★ 12 cited

Time decay estimates for the wave equation with potential in dimension two

William R. Green

We study the wave equation with potential $u_{tt} - Δ u + V u = 0$ in two spatial dimensions, with $V$ a real-valued, decaying potential. With $H = - Δ + V$ , we study a variety of mapping estim…