M. Erdogan

activity

20052026

most citedDispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy

31 citations · 119 across the 15 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.AP2012★ 30 cited

A weighted dispersive estimate for Schrödinger operators in dimension two

M. Burak Erdoğan, William R. Green

Let $H = - Δ + V$ , where $V$ is a real valued potential on $R^{2}$ satisfying $|V(x)|\les \la x\ra^{-3-}$. We prove that if zero is a regular point of the spectrum of $H = - Δ + V$ , then $$ \…

math.AP2012★ 31 cited

Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy

M. Burak Erdogan, William R. Green

We investigate $L^{1} (R^{2}) \to L^{\infty} (R^{2})$ dispersive estimates for the Schrödinger operator $H = - Δ + V$ when there are obstructions, resonances or an eigenvalue, at zero energy. In…