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Nonautonomous Kato classes of measures and Feynman-Kac propagators |
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| Authors: | Archil Gulisashvili |
| Institution: | Department of Mathematics, Ohio University, Athens, Ohio 45701 |
| Abstract: | The behavior of the Feynman-Kac propagator corresponding to a time-dependent measure on  is studied. We prove the boundedness of the propagator in various function spaces on  , and obtain a uniqueness theorem for an exponentially bounded distributional solution to a nonautonomous heat equation. |
| Keywords: | Nonautonomous heat equation classes of time-dependent measures Feynman-Kac propagators time-dependent additive functionals |
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