An approximate criterium of essential self-adjointness of Dirichlet operators

DOI10.1007/BF00269513zbMath0808.47021OpenAlexW1977220393MaRDI QIDQ1202916

Yuri G. Kondratiev, Michael Roeckner, Sergio A. Albeverio

Publication date: 26 May 1993

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00269513

zbMATH Keywords

essential self-adjointinfinite-dimensional Dirichlet form and operator

Mathematics Subject Classification ID

Dirichlet forms (31C25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Probabilistic potential theory (60J45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (13)

Unnamed Item ⋮ DIRICHLET OPERATORS WITH VARIABLE COEFFICIENTS IN L^p-SPACES OF FUNCTIONS OF INFINITELY MANY VARIABLES COEFFICIENTS ⋮ Unnamed Item ⋮ Sergio's work in statistical mechanics: from quantum particles to geometric stochastic analysis ⋮ Dirichlet operators on loop spaces: Essential self-adjointness and log-Sobolev inequality ⋮ On the \(L^\infty\)-uniqueness of dynamical systems with small random perturbation ⋮ Ergodicity of \(L^ 2\)-semigroups and extremality of Gibbs states ⋮ \(L^p\)-uniqueness of Schrödinger operators and the capacitary positive improving property ⋮ Addendum to the paper ``An approximate criterium of essential self- adjointness of Dirichlet operators ⋮ Unnamed Item ⋮ On transformations of mooth measure related to parabolic and hyperbolic differential equations in infinite dimensions ⋮ Kato's inequality and essential self-adjointness of dirichlet operators on certain banach spaces ⋮ Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows

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