Nonautonomous Kato classes of measures and Feynman-Kac propagators

Author:

Gulisashvili Archil

Abstract

The behavior of the Feynman-Kac propagator corresponding to a time-dependent measure on R n R^n is studied. We prove the boundedness of the propagator in various function spaces on R n R^n , and obtain a uniqueness theorem for an exponentially bounded distributional solution to a nonautonomous heat equation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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