New semigroups from old: an approach to Feller boundary conditions

DOI10.3934/dcdss.2023084MaRDI QIDQ6553159

Adam Bobrowski

Publication date: 11 June 2024

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

zbMATH Keywords

invariant subspaceslocal timescosine familiesskew Brownian motionsnapping-out Brownian motionFeller semigroups and resolventsFeller-Wentzel boundary and transmission conditions

Mathematics Subject Classification ID

Brownian motion (60J65) Markov semigroups and applications to diffusion processes (47D07) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Local time and additive functionals (60J55) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Transition functions, generators and resolvents (60J35) Symmetries, invariants, etc. in context of PDEs (35B06) Groups and semigroups of linear operators, their generalizations and applications (47Dxx)

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