Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications

Details Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications

2010-05-26

arxiv.org/abs/1005.4943v1

Mathematics

Analysis of PDEs

16 pages, 0 figures

Scientific paper

Boundedness of wave operators for Schr\"odinger operators in one space
dimension for a class of singular potentials, admitting finitely many Dirac
delta distributions, is proved. Applications are presented to, for example,
dispersive estimates and commutator bounds.

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