Laplacian generated by the Gaussian measure and ergodic theorem

DOI10.1007/s11253-016-1155-zzbMath1386.35051OpenAlexW2330737306MaRDI QIDQ1684567

Ya. Yu. Sanzharevskii, Yu. V. Bogdanskij

Publication date: 11 December 2017

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1155-z

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Maximum principle for the Laplacian with respect to a measure in a domain of the Hilbert space ⋮ Laplacian with respect to a measure on a Riemannian manifold and the Dirichlet problem. I

Cites Work

• Differentiable measures and the Malliavin calculus
• Laplacian with respect to a measure on a Hilbert space and an \(L_2\)-version of the Dirichlet problem for the Poisson equation
• The Dirichlet problem with Laplacian with respect to a measure in the Hilbert space
• One-Parameter Semigroups for Linear Evolution Equations
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