A limiting absorption principle for the Schrodinger equation with L^p potentials

Details A limiting absorption principle for the Schrodinger equation with L^p potentials A limiting absorption principle for the Schrodinger equation with L^p potentials

2003-12-16

arxiv.org/abs/math/0312319v3

Intl. Math. Res. Not. 2004:75 (2004), 4049-4071.

Mathematics

Analysis of PDEs

Removed section on dynamical results, and the conjectures at the end. These will be discussed in greater generality in a forth

Scientific paper

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 classical Agmon estimate. The methods used are close to the
Stein-Tomas theorem in harmonic analysis.

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