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 2020Show all

3 papers · 1 filter

math.AP2020★ 12 cited

On the one dimensional Dirac equation with potential

Burak Erdogan, William R. Green

We investigate $L^{1} \to L^{\infty}$ dispersive estimates for the one dimensional Dirac equation with a potential. In particular, we show that the Dirac evolution satisfies the natural…

math.AP2020★ 15 cited

On the $L^{p}$ boundedness of the Wave Operators for fourth order Schrödinger operators

Michael Goldberg, William R. Green

We consider the fourth order Schrödinger operator $H = Δ^{2} + V (x)$ in three dimensions with real-valued potential $V$ . Let $H_{0} = Δ^{2}$ , if $V$ decays sufficiently and there are no eigenv…

math.AP2020★ 1 cited

Time integrable weighted dispersive estimates for the fourth order Schrödinger equation in three dimensions

Michael Goldberg, William R. Green

We consider the fourth order Schrödinger operator $H = Δ^{2} + V$ and show that if there are no eigenvalues or resonances in the absolutely continuous spectrum of $H$ that the solution o…

On the one dimensional Dirac equation with potential

On the Lp boundedness of the Wave Operators for fourth order Schrödinger operators

Time integrable weighted dispersive estimates for the fourth order Schrödinger equation in three dimensions

On the $L^{p}$ boundedness of the Wave Operators for fourth order Schrödinger operators