Infinite-dimensional Dirichlet operators. I: Essential selfadjointness and associated elliptic equations

DOI10.1007/BF01047670zbMath0812.31003MaRDI QIDQ1803181

T. V. Tsykalenko, Yuri G. Kondratiev

Publication date: 29 June 1993

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

zbMATH Keywords

Dirichlet formsDirichlet operatorsKato inequalityessential selfadjointnesssmoothness of generalized solutionsinfinite dimensional elliptic equations

Mathematics Subject Classification ID

Dirichlet forms (31C25) Diffusion processes (60J60) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Elliptic equations and elliptic systems (35J99) Continuity and singularity of induced measures (60G30) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (4)

A NOTE ON THE ESSENTIAL SELF-ADJOINTNESS OF ORNSTEIN–UHLENBECK OPERATORS PERTURBED BY A DISSIPATIVE DRIFT AND A POTENTIAL ⋮ Dirichlet operators on loop spaces: Essential self-adjointness and log-Sobolev inequality ⋮ Differentiable measures and the Malliavin calculus ⋮ Kato's inequality and essential self-adjointness of dirichlet operators on certain banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The essential self-adjointness of generalized Schrödinger operators
• On the uniqueness of Markovian self-adjoint extension of diffusion operators on infinite dimensional spaces
• Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process
• Differentiability of Measures Associated with Parabolic Equations on Infinite Dimensional Spaces
• Dirichlet forms and diffusion processes on rigged Hilbert spaces
• Energy forms, Hamiltonians, and distorted Brownian paths
• ON A COERCIVE INEQUALITY FOR AN ELLIPTIC OPERATOR IN INFINITELY MANY INDEPENDENT VARIABLES

This page was built for publication: Infinite-dimensional Dirichlet operators. I: Essential selfadjointness and associated elliptic equations