On the De Giorgi-Nash-Moser regularity theory for kinetic equations

On the De Giorgi-Nash-Moser regularity theory for kinetic equations

In this note we review some recent results regarding the De Giorgi-Nash-Moser weak regularity theory for Kolmogorov operators obtained in [10] in collaboration with A. Rebucci. To simplify the treatment, we focus on the model case of the Fokker-Planck equation with rough coefficients and we highligh...

Full description

Bibliographic Details
Main Author:	Francesca Anceschi
Format:	Article
Language:	English
Published:	University of Bologna 2024-01-01
Series:	Bruno Pini Mathematical Analysis Seminar
Subjects:	kolmogorov-fokker-planck equation harnack inequality regularity theory
Online Access:	https://mathematicalanalysis.unibo.it/article/view/18846

Similar Items

On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients
by: Prashanta Garain, et al.
Published: (2023-06-01)

The Fokker-Planck equation : methods of solution and applications /
by: 426109 Risken, H. (Hannes), 1934-, author
Published: (c199)

A short proof of increased parabolic regularity
by: Stephen Pankavich, et al.
Published: (2015-08-01)

Variance and Entropy Assignment for Continuous-Time Stochastic Nonlinear Systems
by: Xiafei Tang, et al.
Published: (2021-12-01)

Numerical Approximation for Nonlinear Noisy Leaky Integrate-and-Fire Neuronal Model
by: Dipty Sharma, et al.
Published: (2019-04-01)

Application of the Fokker-Planck Kolmogorov equation to determining the mean value of nucleons generated by the direct ejection process
by: Soloviev Igor A., et al.
Published: (2019-01-01)

The fokker-planck equation : methods of solution and applications/
by: 426109 Risken, H.
Published: (1984)

The Kinetic Theory of Mutation Rates
by: Lorenzo Pareschi, et al.
Published: (2023-03-01)

The Einstein-Ehrenfest system of (0, M)-type and asymptotical solutions of the multidimensional nonlinear Fokker-Planck-Kolmogorov equation
by: Roman Olegovich Rezaev, et al.
Published: (2010-06-01)

Approximate solution for Fokker-Planck equation
by: M.T. Araujo, et al.
Published: (2015-12-01)

Sobre la estabilidad de campos Fokker-Planck integrables On the stability of integrables Fokker-Planck fields
by: R Quintero, et al.
Published: (2007-11-01)

Transport equations for low energy solar particles in evolving interplanetary magnetic fields /
by: 357819 Ng, C. K.
Published: (1987)

Sobre la estabilidad de campos Fokker-Planck integrables
by: R Quintero, et al.

The Non-Linear Fokker–Planck Equation in Low-Regularity Space
by: Yingzhe Fan, et al.
Published: (2022-05-01)

Path integral solutions for n-dimensional stochastic differential equations under α-stable Lévy excitation
by: Wanrong Zan, et al.
Published: (2023-03-01)

Nonlinear Kinetics on Lattices Based on the Kinetic Interaction Principle
by: Giorgio Kaniadakis, et al.
Published: (2018-06-01)

Fundamental solutions for Kolmogorov-Fokker-Planck operators with time-depending measurable coefficients
by: Marco Bramanti, et al.
Published: (2020-10-01)

Meshless method for the numerical solution of the Fokker–Planck equation
by: Maysam Askari, et al.
Published: (2015-12-01)

How to solve Fokker-Planck equation treating mixed eigenvalue spectrum?
by: M. Brics, et al.
Published: (2013-03-01)

Kinetic Theory Microstructure Modeling in Concentrated Suspensions
by: Francisco Chinesta, et al.
Published: (2013-07-01)

Existence and uniqueness of classical solutions to certain nonlinear integro-differential Fokker-Planck type equations
by: Denis R. Akhmetov, et al.
Published: (2002-02-01)

The Evolution of Probability Density Function for Power System Excited by Fractional Gaussian Noise
by: Hufei Li, et al.
Published: (2023-06-01)

On the Simulation of Kinetic Theory Models of Complex Fluids Using the Fokker-Planck Approach
by: Mokdad B., et al.
Published: (2007-04-01)

On the regularity of Anisotropic p-Laplacean Operators: the pursuit of a comprehensive theory of regularity
by: Bashayer Majrashi, et al.
Published: (2024-01-01)

Information Geometric Investigation of Solutions to the Fractional Fokker–Planck Equation
by: Johan Anderson
Published: (2020-04-01)

Harnack Estimation for Nonlinear, Weighted, Heat-Type Equation along Geometric Flow and Applications
by: Yanlin Li, et al.
Published: (2023-05-01)

Non-Additive Entropic Forms and Evolution Equations for Continuous and Discrete Probabilities
by: Evaldo M. F. Curado, et al.
Published: (2023-07-01)

Fokker Planck equation solver for study stochastic cooling in storages rings
by: M. E. Dolinska
Published: (2011-12-01)

Mean-field approximation of counting processes from a differential equation perspective
by: Dávid Kunszenti-Kovács, et al.
Published: (2016-09-01)

Classes of N-Dimensional Nonlinear Fokker-Planck Equations Associated to Tsallis Entropy
by: Fernando D. Nobre, et al.
Published: (2011-11-01)

Pedestrian motion modelled by Fokker–Planck Nash games
by: S. Roy, et al.
Published: (2017-01-01)

Fluctuation of gauge field for general nonlinear Fokker-Planck equation and covariant version of Fisher information matrix
by: Yamano Takuya
Published: (2013-07-01)

Some global Sobolev inequalities related to Kolmogorov-type operators
by: Giulio Tralli
Published: (2020-03-01)

Calibration of Lévy processes using optimal control of Kolmogorov equations with periodic boundary conditions
by: Mario Annunziato, et al.
Published: (2018-06-01)

Generalized Stochastic Fokker-Planck Equations
by: Pierre-Henri Chavanis
Published: (2015-05-01)

A Fokker-Planck equation with a boundary condition
by: Jorge Guíñez, et al.
Published: (2010-10-01)

Numerical Simulation of Feller’s Diffusion Equation
by: Denys Dutykh
Published: (2019-11-01)

Information Geometry of Nonlinear Stochastic Systems
by: Rainer Hollerbach, et al.
Published: (2018-07-01)

Information Geometry of Spatially Periodic Stochastic Systems
by: Rainer Hollerbach, et al.
Published: (2019-07-01)

Effect of bremsstrahlung radiation emission on fast electrons in plasmas
by: O Embréus, et al.
Published: (2016-01-01)