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arxiv: math/0405437 · v2 · submitted 2004-05-23 · 🧮 math.AP · math-ph· math.MP

Dispersive estimates for Schroedinger operators in dimension two

classification 🧮 math.AP math-phmath.MP
keywords assumeddispersiveestimatesschroedingerdecaydimensiondimensionsenergy
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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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