Maximum principle for the Laplacian with respect to a measure in a domain of the Hilbert space

DOI10.1007/s11253-016-1238-xzbMath1439.58004OpenAlexW2554499614MaRDI QIDQ1729449

Yu. V. Bogdanskij

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-016-1238-x

zbMATH Keywords

maximum principleHilbert spacemeasureLaplacian

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) PDEs with measure (35R06)

Related Items (2)

Divergence theorem in the \(L_2\)-version. Application to the Dirichlet problem ⋮ Infinite-dimensional version of the Friedrichs inequality

Cites Work

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• Traces of Sobolev functions on regular surfaces in infinite dimensions
• Stochastic differential geometry
• Capacities and Surface Measures in Locally Convex Spaces
• On a Generalization of a Stochastic Integral

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