Classes of time-dependent measures and the behavior of Feynman-Kac propagators
Potentials and measures from Kato class are well known and investigated. The author considers various generalizations of Kato class to the non-autonomous case. Solvability and uniqueness theorems for the heat equation with a time-dependent potential are obtained. \(L^p\)-\(L^q\) estimates for propagators are also proved.
heat equation with a time-dependent potential
scientific article; zbMATH DE number 1754774