Employee 发表于 2025-3-25 06:53:01
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Mathematical Problems and ProofsThe aim of this chapter is to prove a Sobolev space regularity result for weak solutions of elliptic equations. This result will be used for the construction of .-strong Feller processes in the next chapter. It will be also used for the construction of the boundary local time.可触知 发表于 2025-3-25 13:43:42
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Introduction,This thesis consists of three main parts: First, the construction of .-strong Feller processes from sub-Markovian strongly continuous contraction semigroups on .-spaces that are associated with symmetric regular Dirichlet forms, see Chapter 2.Manifest 发表于 2025-3-25 23:26:22
Elliptic Regularity up to the Boundary,The aim of this chapter is to prove a Sobolev space regularity result for weak solutions of elliptic equations. This result will be used for the construction of .-strong Feller processes in the next chapter. It will be also used for the construction of the boundary local time.冒失 发表于 2025-3-26 00:48:10
Appendix,In this section we consider some useful results concerning locally compact separable metric spaces with a locally finite Borel measure .. Let (., d) be a metric space. We say that . is . if for every . ∈ . there exists an open neighborhood . of . such that . is compact.nonradioactive 发表于 2025-3-26 05:18:17
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https://doi.org/10.1007/978-3-658-05829-6Dirichlet form theory; Skorokhod decomposition; elliptic boundary value problem; finite particle systemVasoconstrictor 发表于 2025-3-26 20:52:03
978-3-658-05828-9Springer Fachmedien Wiesbaden 2014