M. Goldberg

activity

20032008

most citedA counterexample to dispersive estimates for Schrödinger operators in higher dimensions

36 citations · 68 across the 7 of their papers we have counts for

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Showing 2008 · math.APShow all

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math.AP2008★ 15 cited

A dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues

Michael Goldberg

We prove a dispersive estimate for the evolution of Schroedinger operators $H = - Δ + V (x)$ in $R^{3}$ . The potential is allowed to be a complex-valued function belonging to…

math.AP2008★ 4 cited

Strichartz estimates for Schrödinger operators with a non-smooth magnetic potential

Michael Goldberg

We prove Strichartz estimates for the absolutely continuous evolution of a Schrödinger operator $H = (i \nabla + A)^{2} + V$ in $R^{n}$ , $n > 2$ . Both the magnetic and electric potenti…