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 2022 · math.APShow all

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math.AP2022★ 12 cited

A note on endpoint $L^{p}$ -continuity of wave operators for classical and higher order Schrödinger operators

M. Burak Erdogan, William R. Green

We consider the higher order Schrödinger operator $H = (- Δ)^{m} + V (x)$ in $n$ dimensions with real-valued potential $V$ when $n > 2 m$ , $m \in N$ . We adapt our recent results for $m…

math.AP2022★ 11 cited

Counterexamples to $L^{p}$ boundedness of wave operators for classical and higher order Schrödinger operators

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

We consider the higher order Schrödinger operator $H = (- Δ)^{m} + V (x)$ in $n$ dimensions with real-valued potential $V$ when $n > 4 m - 1$ , $m \in N$ . We show that for any $\frac{2n}{…

A note on endpoint Lp-continuity of wave operators for classical and higher order Schrödinger operators

Counterexamples to Lp boundedness of wave operators for classical and higher order Schrödinger operators

A note on endpoint $L^{p}$ -continuity of wave operators for classical and higher order Schrödinger operators

Counterexamples to $L^{p}$ boundedness of wave operators for classical and higher order Schrödinger operators