Abstract
We study iterations of integral kernels satisfying a transience-type condition and we prove exponential estimates analogous to Gronwall’s inequality. As a consequence we obtain estimates of Schrödinger perturbations of integral kernels, including Markovian semigroups.
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The research was partially supported by grants MNiSW N N201 397137, MNiSW N N201 422539, ANR-09-BLAN-0084-01.
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Bogdan, K., Hansen, W. & Jakubowski, T. Localization and Schrödinger Perturbations of Kernels. Potential Anal 39, 13–28 (2013). https://doi.org/10.1007/s11118-012-9320-y
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DOI: https://doi.org/10.1007/s11118-012-9320-y