William R. Green

works on

dispersive estimates 1 fractional schrödinger operators 1 lp continuity 1 strichartz estimates 1 wave operators 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.AP2026

The $L^{p}$ -continuity of wave operators for fractional order SchrÃ¶dinger operators

M. Burak Erdogan, Michael Goldberg, William Green

The paper proves that wave operators for fractional Schrödinger operators with real potentials are bounded on all L^p spaces under dimension‑dependent conditions, and derives corre…

math.AP2025

Dispersive estimates for fractional order SchrÃ¶dinger operators

M. Burak Erdogan, Michael Goldberg, William Green

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

math.AP2025

$L^{p}$ -continuity of wave operators for higher order SchrÃ¶dinger operators with threshold eigenvalues in high dimensions

M. Burak Erdogan, William R. Green, Kevin LaMaster

We consider the higher order SchrÃ¶dinger operator $H = (- I^)^{m} + V (x)$ in $n$ dimensions with real-valued potential $V$ when $n > 4 m$ , $m \in N$ . We adapt our recent results for…

math.AP2025

Dispersive estimates for higher order SchrÃ¶dinger operators with scaling-critical potentials

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

We prove a family of dispersive estimates for the higher order SchrÃ¶dinger equation $i u_{t} = (- I^)^{m} u + V u$ for $m \in N$ with $m > 1$ and $2 m < n < 4 m$ . Here $V$ is a real-valued po…

The Lp-continuity of wave operators for fractional order SchrÃ¶dinger operators

Dispersive estimates for fractional order SchrÃ¶dinger operators

Lp-continuity of wave operators for higher order SchrÃ¶dinger operators with threshold eigenvalues in high dimensions

Dispersive estimates for higher order SchrÃ¶dinger operators with scaling-critical potentials

The $L^{p}$ -continuity of wave operators for fractional order SchrÃ¶dinger operators

$L^{p}$ -continuity of wave operators for higher order SchrÃ¶dinger operators with threshold eigenvalues in high dimensions