Dimension-free Harnack inequality and its applications
From MaRDI portal
Publication:719982
DOI10.1007/s11464-005-0021-3zbMath1222.58031OpenAlexW1544871511MaRDI QIDQ719982
Publication date: 13 October 2011
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-005-0021-3
Harnack inequalityRiemannian manifoldheat kernelultracontractivityhypercontractivitydiffusion semigroupsupercontractivity
Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (7)
Ergodicity of transition semigroups for stochastic fast diffusion equations ⋮ Curvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation ⋮ HARNACK INEQUALITIES AND APPLICATIONS FOR MULTIVALUED STOCHASTIC EVOLUTION EQUATIONS ⋮ Harnack inequalities for Ornstein-Uhlenbeck processes driven by Lévy processes ⋮ Branching processes with immigration and related topics ⋮ Transportation inequalities for Markov kernels and their applications ⋮ Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
- On the parabolic kernel of the Schrödinger operator
- Gradient estimates on manifolds using coupling
- Uniform positivity improving property, Sobolev inequalities, and spectral gaps
- Harnack inequalities on a manifold with positive or negative Ricci curvature
- Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
- Application of coupling method to the first eigenvalue on manifold
- Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
- Harnack and functional inequalities for generalized Mehler semigroups.
- Uniformly integrable operators and large deviations for Markov processes
- On the small time asymptotics of diffusion processes on path groups
- Hypercontractivity of Hamilton-Jacobi equations.
- On Gromov's theorem and \(L^2\)-Hodge decomposition
- The parabolic Harnack inequality for the time dependent Ginzburg-Landau type SPDE and its application
- Capacitary criteria for Poincaré-type inequalities
- Harnack inequalities for log-Sobolev functions and estimates of log-Sobolev constants
- Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line.
- Functional inequalities and spectrum estimates: The infinite measure case
- Equivalence of dimension-free Harnack inequality and curvature condition
- Functional inequalities for empty essential spectrum
- Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below
- Heat Kernel Estimates with Application to Compactness of Manifolds
- Nash type inequalities for fractional powers of non-negative self-adjoint operators
- Logarithmic Sobolev Inequalities
- Riesz transforms for $1\le p\le 2$
- FUNCTIONAL INEQUALITIES, SEMIGROUP PROPERTIES AND SPECTRUM ESTIMATES
- Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds
- ON THE COMPACTNESS OF MANIFOLDS
This page was built for publication: Dimension-free Harnack inequality and its applications