Estimates concerning the heat content for the Schrödinger operator related to a subordinate Brownian motion
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Acuna Valverde, Luis Guillermo
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Abstract
In this paper, we study the heat content for the Schrödinger operator related to a subordinate Brownian motion and we also establish its small time asymptotic behavior for suitable potentials V . The case V = c1Ω for c > 0 and Ω a Borel set of finite measure is investigated in detail.
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Keywords
Brownian motions, Fourier transform, finite perimeter