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Characterization of sharp global Gaussian estimates for Schrödinger heat kernels
Published 12 Jun 2016 in math.FA and math.AP | (1606.03745v1)
Abstract: We investigate when the fundamental solution of the Schr\"odinger equation $\partial_t=\Delta+V$ posseses sharp Gaussian bounds global in space and time. We give a characterization for $V\leq 0$ and a sufficient condition for general $V$.
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