Dispersive estimates for Schroedinger operators in dimension two

Mathematics – Analysis of PDEs

Scientific paper

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Several misprints and obscurities have been corrected. In some places, more explanations are provided

Scientific paper

10.1007/s00220-004-1262-9

We prove dispersive estimates for linear Schroedinger equations in two space
dimensions. The potential is assumed to be real-valued with some polynomial
decay (faster than a negative third power), and zero energy is assumed to be a
regular point for the perturbed resolvent.

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