Communications in Mathematical Physics

, Volume 257, Issue 1, pp 87–117 | Cite as

Dispersive Estimates for Schrödinger Operators in Dimension Two



We prove L1(ℝ2)→L(ℝ2) for the two-dimensional Schrödinger operator −Δ+V with the decay rate t−1. We assume that zero energy is neither an eigenvalue nor a resonance. This condition is formulated as in the recent paper by Jensen and Nenciu on threshold expansions for the two-dimensional resolvent.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Division of Astronomy, Mathematics, and Physics PasadenaUSA

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