Dirichlet problem for Poisson equation on the rectangle in infinite dimensional Hilbert space

DOI10.2478/AMNS.2020.2.00016OpenAlexW3082353565MaRDI QIDQ2690779

V. Zh. Sakbaev, V. M. Busovikov

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00016

zbMATH Keywords

Dirichlet problemSobolev spacerandom walksLaplace operatorshift invariant measure on Banach space

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40)

Related Items (1)

Compositions of random processes in a Hilbert space and its limit distribution

Cites Work

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• Explicit formula for evolution semigroup for diffusion in Hilbert space
• "Lebesgue Measure" on R ∞
• Chernoff approximation of subordinate semigroups

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