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Your search keyword '"Ya. Yu. Sanzharevskii"' showing total 2 results
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2 results on '"Ya. Yu. Sanzharevskii"'

1. Laplacian Generated by the Gaussian Measure and Ergodic Theorem

Author

Yu. V. Bogdanskii and Ya. Yu. Sanzharevskii

Subjects
Mathematics::Operator Algebras, General Mathematics, 010102 general mathematics, Mathematical analysis, Gaussian measure, Vector Laplacian, Stationary ergodic process, 01 natural sciences, Gaussian random field, 010101 applied mathematics, Ergodic theory, Invariant measure, 0101 mathematics, Laplacian matrix, Laplace operator, Mathematics
Abstract

We consider the Laplacian generated by the Gaussian measure on a separable Hilbert space and prove the ergodic theorem for the corresponding one-parameter semigroup.

Published
2016
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2. The Dirichlet Problem with Laplacian with Respect to a Measure in the Hilbert Space

Author

Yu. V. Bogdanskii and Ya. Yu. Sanzharevskii

Subjects
Dirichlet problem, symbols.namesake, Hilbert manifold, General Mathematics, Dirichlet's principle, Mathematical analysis, symbols, Projection-valued measure, Dirichlet's energy, Cylinder set measure, Borel measure, Elliptic boundary value problem, Mathematics
Abstract

We study the Dirichlet problem for a specified class of elliptic equations in a region of the Hilbert space consistent with a given Borel measure.

Published
2014
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