Abstract
We prove non-explosion results for Schrödinger perturbations of symmetric transition densities and Hardy inequalities for their quadratic forms by using explicit supermedian functions of their semigroups.
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Krzysztof Bogdan and Bartłomiej Dyda were partially supported by NCN grant 2012/07/B/ST1/03356.
Panki Kim is supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIP) (No. NRF-2015R1A4A1041675).
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Bogdan, K., Dyda, B. & Kim, P. Hardy Inequalities and Non-explosion Results for Semigroups. Potential Anal 44, 229–247 (2016). https://doi.org/10.1007/s11118-015-9507-0
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DOI: https://doi.org/10.1007/s11118-015-9507-0