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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 in R^3 satisfies Strichartz and smoothing estimates under suitable smoothness and d…
math.AP2006
Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials
Michael Goldberg, Luis Vega, Nicola Visciglia
In each dimension n >= 2, we construct a class of nonnegative potentials that are homogeneous of order -sigma, chosen from the range 0 < sigma < 2, and for which the perturbed Schr…