Hypocoercivity for Kolmogorov backward evolution equations and applications
From MaRDI portal
Publication:461701
DOI10.1016/j.jfa.2014.08.019zbMath1347.37007arXiv1207.5447OpenAlexW2098994451MaRDI QIDQ461701
Martin Grothaus, Patrik Stilgenbauer
Publication date: 13 October 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.5447
Ergodicity, mixing, rates of mixing (37A25) Diffusion processes and stochastic analysis on manifolds (58J65)
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Cites Work
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- Construction, ergodicity and rate of convergence of \(N\)-particle Langevin dynamics with singular potentials
- Dissipative operators in a Banach space
- Large-time behavior of solutions for the Boltzmann equation with hard potentials
- Hypocoercivity for kinetic equations with linear relaxation terms
- A simple proof of the Poincaré inequality for a large class of probability measures
- Semigroups of linear operators and applications to partial differential equations
- Stochastic calculus of generalized Dirichlet forms and applications to stochastic differential equations in infinite dimensions
- Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
- Fokker-Planck equation on a manifold. Effective diffusion and spectrum
- A stochastic approach to relativistic diffusions
- Construction of n-particle Langevin dynamics for \(H^{1,\infty}\)-potentials via generalized Dirichlet forms
- Hypoelliptic second order differential equations
- ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
- Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes
- GEOMETRIC LANGEVIN EQUATIONS ON SUBMANIFOLDS AND APPLICATIONS TO THE STOCHASTIC MELT-SPINNING PROCESS OF NONWOVENS AND BIOLOGY
- Asymptotic analysis for the generalized Langevin equation
- The theory of generalized Dirichlet forms and its applications in analysis and stochastics
- SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE
- A 3D MODEL FOR FIBER LAY-DOWN IN NONWOVEN PRODUCTION PROCESSES
- Hypocoercivity of linear degenerately dissipative kinetic equations
- Modeling and Numerical Simulation of Fiber Dynamics
- Relativistic diffusions and Schwarzschild geometry
- Fiber Dynamics in Turbulent Flows: General Modeling Framework
- Ergodicity and Rate of Convergence for a Nonsectorial Fiber Lay-Down Process
- Hierarchy of mathematical models for production processes of technical textiles
- Hypocoercivity
- A Generalized Poincare Inequality for Gaussian Measures
- A classification of the second order degenerate elliptic operators and its probabilistic characterization
- (Non-)Ergodicity of a Degenerate Diffusion Modeling the Fiber Lay Down Process
- Exponential Convergence to Equilibrium for Kinetic Fokker-Planck Equations
- Hypocoercivity for linear kinetic equations conserving mass
- Almost Exponential Decay Near Maxwellian
- A Stochastic Model and Associated Fokker–Planck Equation for the Fiber Lay-Down Process in Nonwoven Production Processes
- Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
- Lineare Funktionalanalysis
