Matrix-exponential groups and Kolmogorov-Fokker-Planck equations
From MaRDI portal
Publication:434329
DOI10.1007/s00028-011-0123-1zbMath1257.47044OpenAlexW2020296521MaRDI QIDQ434329
Ermanno Lanconelli, Andrea Bonfiglioli
Publication date: 10 July 2012
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00028-011-0123-1
Degenerate elliptic equations (35J70) Groups and semigroups of linear operators (47D03) Dynamics induced by flows and semiflows (37C10) Analysis on other specific Lie groups (43A80)
Related Items
Harnack inequality for hypoelliptic second order partial differential operators ⋮ Weighted \(L^p\)-Liouville theorems for hypoelliptic partial differential operators on Lie groups ⋮ A completeness result for time-dependent vector fields and applications ⋮ \(L^p\)-Liouville theorems for invariant partial differential operators in \(\mathbb{R}^n\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On left-invariant Hörmander operators in \(\mathbb R^N\). Applications to Kolmogorov-Fokker-Planck equations
- Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators
- An ODE's version of the formula of Baker, Campbell, Dynkin and Hausdorff and the construction of Lie groups with prescribed Lie algebra
- Maximal regularity for Kolmogorov operators in \(L^{2}\) spaces with respect to invariant measures
- On a class of self-adjoint elliptic operators in \(L^2\) spaces with respect to invariant measures
- Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Hypoelliptic differential operators and nilpotent groups
- On the Ornstein-Uhlenbeck operator in spaces of continuous functions
- Lie groups related to Hörmander operators and Kolmogorov-Fokker-Planck equations
- On a class of degenerate elliptic operators in \(L^{1}\) spaces with respect to invariant measures
- Ornstein--Uhlenbeck operators with time periodic coefficients
- An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations
- Link of groups and homogeneous Hörmander operators
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Matrix Analysis
- On the Ornstein-Uhlenbeck operator in 𝐿² spaces with respect to invariant measures
