Selfadjointness of the Liouville operator for infinite classical systems

DOI10.1007/BF01609415zbMath0373.47024OpenAlexW1967956705MaRDI QIDQ1244697

Carlo Marchioro, Mario Pulvirenti, Alessandro Pellegrinotti

Publication date: 1978

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01609415

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (11)

Equilibrium fluctuations for interacting Brownian particles ⋮ On the propagation of a perturbation in an anharmonic system ⋮ Nonequilibrium dynamics of infinite particle systems with infinite range interactions ⋮ Stochastic flows with stationary distribution for two-dimensional inviscid fluids ⋮ Essential self-adjointness of Liouville operator for 2D Euler point vortices ⋮ Time evolution of two dimensional systems with infinitely many particles mutually interacting via very singular forces ⋮ Inner Limit Derivations ⋮ Dirichlet forms and Dirichlet operators for infinite particle systems: Essential self-adjointness ⋮ On the time evolution of the states of infinitely extended particles systems ⋮ Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows ⋮ Some remarks on nonequilibrium dynamics of infinite particle systems

Cites Work

• Unnamed Item
• Classical KMS condition and Tomita-Takesaki theory
• Operatore di Liouville e soluzioni statistiche delle equazioni di Hamilton
• Non-equilibrium dynamcis of one-dimensional infinite particle systems with a hard-core interaction
• The classical mechanics of one-dimensional systems of infinitely many particles. I: An existence theorem
• Superstable interactions in classical statistical mechanics

This page was built for publication: Selfadjointness of the Liouville operator for infinite classical systems