A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type
DOI10.2140/apde.2023.16.1547zbMath1530.35134arXiv2012.07446OpenAlexW4386966647MaRDI QIDQ6185898
Publication date: 9 January 2024
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.07446
ellipticDirichlet problemhomogenizationLie groupKolmogorov measuredoubling measureparabolicKolmogorov equationLipschitz domainhypoellipticultraparabolicparabolic measureoperators in divergence formelliptic measure\(A_\infty \)
Degenerate parabolic equations (35K65) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations
- Homogenization of elliptic boundary value problems in Lipschitz domains
- The Dirichlet problem for Kolmogorov-Fokker-Planck type equations with rough coefficients
- Density estimates for a random noise propagating through a chain of differential equations
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Estimates of harmonic measure
- A global lower bound for the fundamental solution of Kolmogorov-Fokker-Planck equations
- Behavior near the boundary of positive solutions of second order parabolic equations
- Homogenization of a parabolic Dirichlet problem by a method of dahlberg
- Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.)
- Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients
- Potential theory for a class of strongly degenerate parabolic operators of Kolmogorov type with rough coefficients
- The A-property of the Kolmogorov measure
- Hypoelliptic second order differential equations
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Estimates of Caloric Measure and the Initial-Dirichlet Problem for the Heat Equation in Lipschitz Cylinders
- Weighted norm inequalities for maximal functions and singular integrals
- Behavior near the boundary of positive solutions of second order parabolic equations. II
- The Dirichlet problem for second order parabolic operators
- Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
This page was built for publication: A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type
