Dispersive estimates for Schrodinger operators in dimensions one and three

Details Dispersive estimates for Schrodinger operators in dimensions one and three Dispersive estimates for Schrodinger operators in dimensions one and three

2003-06-05

arxiv.org/abs/math/0306108v2

Comm. Math. Phys. 251 (2004), no. 1, 157-178.

Mathematics

Analysis of PDEs

20 pages. Corrected typos and improved explanatory remarks at the end

Scientific paper

10.1007/s00220-004-1140-5

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 regularity on the potentials is assumed.

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