36 citations · 68 across the 7 of their papers we have counts for
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math.AP2004★ 9 cited
Dispersive Bounds for the three-dimensional Schrodinger equation with almost critical potentials
Michael Goldberg
We prove a dispersive estimate for the time-independent Schrodinger operator H = -Δ+ V in three dimensions. The potential V(x) is assumed to lie in the intersection L^p(R^3) \cap L…
math.AP2004★ 4 cited
Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials
Michael Goldberg
We prove L^1 --> L^\infty estimates for the linear Schroedinger equation in three dimensions. The potential is assumed to belong to certain L^p spaces, but no pointwise decay estim…