Burak Erdogan

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math.AP2006

Strichartz and Smoothing Estimates for Schroedinger Operators with Large Magnetic Potentials in R^3

M. Burak Erdogan, Michael Goldberg, Wilhelm Schlag

We show that the time evolution of the operator $H = - Δ + i (A \cdot \nabla + \nabla \cdot A) + V$ in R^3 satisfies Strichartz and smoothing estimates under suitable smoothness and d…

math.AP2004

Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: I

Burak Erdogan, Wilhelm Schlag

We prove dispersive estimates for Schroedinger operators in dimension three without any assumptions on zero energy. Ie, we allows resonances and/or eigenvalues at zero energy.