Uniform semigroup spectral analysis of the discrete, fractional and classical Fokker-Planck equations

DOI10.5802/jep.46zbMath1420.47026arXiv1507.04861OpenAlexW876269324MaRDI QIDQ2011985

Stéphane Mischler, Isabelle Tristani

Publication date: 27 July 2017

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04861

zbMATH Keywords

Fokker-Planck equationsemigroupdissipativityspectral gapfractional Laplacianexponential rate of convergencelong-time asymptotic

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory to differential and integral equations (47N20) Fokker-Planck equations (35Q84)

Related Items (6)

On a structure-preserving numerical method for fractional Fokker-Planck equations ⋮ Improved energy methods for nonlocal diffusion problems ⋮ Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime ⋮ Relaxation in time elapsed neuron network models in the weak connectivity regime ⋮ Convergence to equilibrium for linear Fokker-Planck equations ⋮ Fractional Fokker--Planck Equation with General Confinement Force

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