Marcel Schmidt
University of Jena
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Publication
Featured researches published by Marcel Schmidt.
Calculus of Variations and Partial Differential Equations | 2017
Sebastian Haeseler; Matthias Keller; Jun Masamune; Marcel Schmidt
We study global properties of Dirichlet forms such as uniqueness of the Dirichlet extension, stochastic completeness and recurrence. We characterize these properties by means of vanishing of a boundary term in Green’s formula for functions from suitable function spaces and suitable operators arising from extensions of the underlying form. We first present results in the framework of general Dirichlet forms on
Probability Theory and Related Fields | 2016
Batu Güneysu; Matthias Keller; Marcel Schmidt
Dissertationes Mathematicae | 2017
Marcel Schmidt
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Revista Matematica Iberoamericana | 2017
Matthias Keller; Marcel Schmidt; Radoslaw K. Wojciechowski
arXiv: Mathematical Physics | 2013
Batu Güneysu; Matthias Keller; Marcel Schmidt
σ-finite measure spaces. For regular Dirichlet forms our results can be strengthened as all operators from the previous considerations turn out to be restrictions of a single operator. Finally, the results are applied to graphs, weighted manifolds, and metric graphs, where the operators under investigation can be determined rather explicitly, and certain volume growth criteria can be (re)derived.
Transactions of the American Mathematical Society | 2018
Felix Pogorzelski; Marcel Schmidt
Advances in Mathematics | 2015
Matthias Keller; Marcel Schmidt; Melchior Wirth
Archive | 2017
Matthias Keller; Marcel Schmidt; Michael Schwarz
arXiv: Functional Analysis | 2016
Marcel Schmidt; Melchior Wirth
arXiv: Functional Analysis | 2017
Marcel Schmidt; Melchior Wirth
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