On the existence and asymptotic behavior of weak solution of the kinetic Fokker-Planck equation in a bounded domain with absorbing boundary
DOI10.1016/J.BULSCI.2024.103523MaRDI QIDQ6652371
Publication date: 12 December 2024
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)
Cites Work
- Title not available (Why is that?)
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- Positive operator semigroups. From finite to infinite dimensions
- The Fokker-Planck equation with absorbing boundary conditions
- Functional analysis, Sobolev spaces and partial differential equations
- A minimax theorem for irreducible compact operators in \(L^ p\)-spaces
- Irreducible compact operators
- Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
- Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems.
- Quasi-stationary distribution for the Langevin process in cylindrical domains. I: Existence, uniqueness and long-time convergence
- A probabilistic study of the kinetic Fokker-Planck equation in cylindrical domains
- Couplings and quantitative contraction rates for Langevin dynamics
- Hypoelliptic second order differential equations
- Kinetic equations with Maxwell boundary conditions
- Hypocoercivity
- An Operator-Theoretic Formulation of Asynchronous Exponential Growth
- Global weak solutions for the initial-boundary-value problems Vlasov-Poisson-Fokker-Planck System
- One-Parameter Semigroups for Linear Evolution Equations
- The Fokker--Planck Equation with Absorbing Boundary Conditions in Bounded Domains
- Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries
- Quasi-stationary distribution for strongly Feller Markov processes by Lyapunov functions and applications to hypoelliptic Hamiltonian systems
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