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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…
math.AP2003
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…
math.AP2003★ 231 cited
Dispersive estimates for Schrodinger operators in dimensions one and three
M. Goldberg, W. Schlag
We prove L^1 --> L^\infty estimates for linear Schroedinger equations in dimensions one and three. The potentials are only required to satisfy some mild decay assumptions. No regul…