Michael Goldberg

most citedStrichartz Estimates for the Schroedinger Equation with Time-Periodic L^{n/2} Potentials

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

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…

math.AP2007★ 4 cited

Strichartz Estimates for the Schroedinger Equation with Time-Periodic L^{n/2} Potentials

Michael Goldberg

We prove Strichartz estimates for the Schroedinger operator $H = - Δ + V (t, x)$ with time-periodic complex potentials $V$ belonging to the scaling-critical space $L^{n/2}_x L^\infty_t…

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

Dispersive estimates for fractional order Schrödinger operators

Strichartz Estimates for the Schroedinger Equation with Time-Periodic L^{n/2} Potentials

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