Titlebook: Analytic Theory of It?-Stochastic Differential Equations with Non-smooth Coefficients; Haesung Lee,Wilhelm Stannat,Gerald Trutnau Book 202

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Book 2022lev diffusion coefficients and locally integrable drift.?Regularity theory of partial differential equations is applied to construct such solutions and to obtain strong Feller properties, irreducibility, Krylov-type estimates, moment inequalities, various types of non-explosion criteria, and long ti

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The Abstract Cauchy Problem in ,,-Spaces with Weights,nd suitable initial condition . on the space .. Here, . is a locally finite nonnegative measure that is infinitesimally invariant for . (see (.)). We explicitly construct in Sect. ., under minimal assumptions on the coefficients (..). and (..)., extensions of . generating sub-Markovian ..-semigroups

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