New perspectives on recent trends for Kolmogorov operators

DOI10.1007/978-981-97-0225-1_3zbMATH Open1548.35004MaRDI QIDQ6612903

Annalaura Rebucci, Mirco Piccinini, Francesca Anceschi

Publication date: 1 October 2024

Harnack inequality Hölder regularity fractional Laplacian Kolmogorov-Fokker-Planck equation ultraparabolic weak regularity theory

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Local behavior of fractional \(p\)-minimizers
Nonlocal Harnack inequalities
Existence and regularity of a linear nonlocal Fokker-Planck equation with growing drift
On a relativistic Fokker-Planck equation in kinetic theory
The \(C^{\alpha}\) regularity of weak solutions of ultraparabolic equations
Regularity near the initial state in the obstacle problem for a class of hypoelliptic ultraparabolic operators
Fractional diffusion limit for collisional kinetic equations
The Dirichlet problem for Kolmogorov-Fokker-Planck type equations with rough coefficients
Intrinsic Taylor formula for Kolmogorov-type homogeneous groups
Free boundary and optimal stopping problems for American Asian options
Optimal regularity in the obstacle problem for Kolmogorov operators related to American Asian options
PDE and martingale methods in option pricing.
Functional analysis, Sobolev spaces and partial differential equations
The \(C^{\alpha}\) regularity of a class of non-homogeneous ultraparabolic equations
Hypoelliptic regularity in kinetic equations.
The Dirichlet problem for a class of ultraparabolic equations
The Dirichlet problem for the \(p\)-fractional Laplace equation
\(L^p\) estimates for degenerate non-local Kolmogorov operators
\(L^p\)-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators
Local boundedness of solutions to non-local parabolic equations modeled on the fractional \(p\)-Laplacian
Hölder regularity for nonlocal double phase equations
A non-local regularization of first order Hamilton-Jacobi equations
Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients
Regularity for nonlocal problems with non-standard growth
Hölder regularity for weak solutions to nonlocal double phase problems
A note on the weak regularity theory for degenerate Kolmogorov equations
The obstacle problem and the Perron method for nonlinear fractional equations in the Heisenberg group
Quantitative De Giorgi methods in kinetic theory
Nonlocal Harnack inequalities in the Heisenberg group
Local boundedness and Hölder continuity for the parabolic fractional \(p\)-Laplace equations
Moser's estimates for degenerate Kolmogorov equations with non-negative divergence lower order coefficients
The weak Harnack inequality for the Boltzmann equation without cut-off
Nonlocal Harnack inequalities for nonlocal heat equations
Harnack's inequality for parabolic nonlocal equations
Pointwise estimates for a class of non-homogeneous Kolmogorov equations
Hypoelliptic second order differential equations
Existence of a fundamental solution of partial differential equations associated to Asian options
Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group
Local boundedness of variational solutions to nonlocal double phase parabolic equations
Boundary regularity of mixed local-nonlocal operators and its application
Harnack inequality for mixed local and nonlocal parabolic \(p\)-Laplace equations
On the viscosity solutions of a stochastic differential utility problem
Fractional diffusion limit for collisional kinetic equations: A moments method
Stratified Lie Groups and Potential Theory for their Sub-Laplacians
Complete Models with Stochastic Volatility
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
SOME RESULTS ON PARTIAL DIFFERENTIAL EQUATIONS AND ASIAN OPTIONS
A class of nonlocal hypoelliptic operators and their extensions
Mixed local and nonlocal elliptic operators: regularity and maximum principles
On the regularity theory for mixed local and nonlocal quasilinear elliptic equations
Semilinear elliptic equations involving mixed local and nonlocal operators
Hölder Continuity for a Family of Nonlocal Hypoelliptic Kinetic Equations
A survey on the classical theory for Kolmogorov equation
A geometric statement of the Harnack inequality for a degenerate Kolmogorov equation with rough coefficients
THE MOSER'S ITERATIVE METHOD FOR A CLASS OF ULTRAPARABOLIC EQUATIONS
Global hypoelliptic estimates for fractional order kinetic equation
The obstacle problem for a class of hypoelliptic ultraparabolic equations
Global regularity estimates for the Boltzmann equation without cut-off
Harnack inequality for nonlocal problems with non-standard growth
Sobolev embeddings for kinetic Fokker-Planck equations
\(C^\alpha\) regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms
Approximation and interpolation in Kolmogorov-type groups
On the fundamental solution for degenerate Kolmogorov equations with rough coefficients
Hölder regularity for parabolic fractional \(p\)-Laplacian
Gradient regularity in mixed local and nonlocal problems
Quantitative De Giorgi methods in kinetic theory for non-local operators
Regularity estimates and open problems in kinetic equations
Variational methods for the kinetic Fokker-Planck equation
On the obstacle problem associated to the Kolmogorov-Fokker-Planck operator with rough coefficients

This page was built for publication: New perspectives on recent trends for Kolmogorov operators

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6612903)