Velocity Averaging and Hölder Regularity for Kinetic Fokker--Planck Equations with General Transport Operators and Rough Coefficients
From MaRDI portal
Publication:4990071
DOI10.1137/20M1372147zbMath1467.35082arXiv2010.03867OpenAlexW3158503201MaRDI QIDQ4990071
Publication date: 28 May 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.03867
Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Hypoelliptic equations (35H10) Fokker-Planck equations (35Q84) Transport equations (35Q49)
Related Items (5)
On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients ⋮ Kinetic Schauder estimates with time-irregular coefficients and uniqueness for the Landau equation ⋮ On a spatially inhomogeneous nonlinear Fokker-Planck equation: Cauchy problem and diffusion asymptotics ⋮ Global \(\boldsymbol{L}_{\boldsymbol{p}}\) Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Divergence Form ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global weak solutions to the relativistic Vlasov-Maxwell system revisited
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- The \(C^{\alpha}\) regularity of a class of non-homogeneous ultraparabolic equations
- Regularity of the moments of the solution of a transport equation
- Hypoelliptic regularity in kinetic equations.
- Elliptic partial differential equations of second order
- Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.)
- The weak Harnack inequality for the Boltzmann equation without cut-off
- Hypoelliptic second order differential equations
- Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
- Local Regularity for Parabolic Nonlocal Operators
- Regularity theory for parabolic nonlinear integral operators
- Continuity of Solutions of Parabolic and Elliptic Equations
- Global weak solutions of Vlasov‐Maxwell systems
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- Averaging regularity results for PDEs under transversality assumptions
- A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
- On Boltzmann and Landau equations
- Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
- A quantum-transport model for semiconductors : the Wigner-Poisson problem on a bounded Brillouin zone
- On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications
- Hölder Continuity for a Family of Nonlocal Hypoelliptic Kinetic Equations
- THE MOSER'S ITERATIVE METHOD FOR A CLASS OF ULTRAPARABOLIC EQUATIONS
- Stochastic Problems in Physics and Astronomy
This page was built for publication: Velocity Averaging and Hölder Regularity for Kinetic Fokker--Planck Equations with General Transport Operators and Rough Coefficients
