36 citations · 49 across the 4 of their papers we have counts for
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A counterexample to dispersive estimates for Schrödinger operators in higher dimensions
M. Goldberg, M. Visan
In dimension we show the existence of a compactly supported potential in the differentiability class , , for which the solutions to the linear Schrödinge…
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…
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…
A limiting absorption principle for the Schrodinger equation with L^p potentials
Michael Goldberg, Wilhelm Schlag
We prove a limiting absorption principle for linear Schroedinger equations in Lebesgue spaces. In particular, we do not require any polynomially decaying weights as in the classica…