Heat kernel on manifolds with ends
From MaRDI portal
Publication:1041270
DOI10.5802/aif.2480zbMath1239.58016OpenAlexW2496743404MaRDI QIDQ1041270
Alexander Grigor'yan, Laurent Saloff-Coste
Publication date: 2 December 2009
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/10444
Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08)
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Cites Work
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- Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
- Uniformly elliptic operators on Riemannian manifolds
- Surgery of the Faber-Krahn inequality and applications to heat kernel bounds
- Weighted Sobolev inequalities and Ricci flat manifolds
- Heat kernel on manifolds with ends
- Brownian motion and random walks on manifolds
- Isoperimetric inequalities and Markov chains
- Hardy-Littlewood theory for semigroups
- On the parabolic kernel of the Schrödinger operator
- Upper bounds for symmetric Markov transition functions
- Fundamental solution of the heat equation on an arbitrary Riemannian manifold
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- \(L^ p\) norms of non-critical Schrödinger semigroups
- Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds
- Lower bounds for one-dimensional Markov chains
- Heat kernel bounds, conservation of probability and the Feller property
- Heat kernel upper bounds on a complete non-compact manifold
- On-diagonal lower bounds for heat kernels and Markov chains
- Hitting probabilities for Brownian motion on Riemannian manifolds.
- Heat kernel on connected sums of Riemannian manifolds
- Stability results for Harnack inequalities.
- Noyau de la chaleur et discrétisation d'une variété riemannienne. (Heat kernel and discretization of a Riemannian manifold)
- Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds
- Ultracontractivity and Nash type inequalities
- Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients
- Global heat kernel bounds via desingularizing weights
- Green's functions, harmonic functions, and volume comparison
- Dimensions at infinity for Riemannian manifolds
- Parabolic Harnack inequality for divergence form second order differential operators
- Heat kernel on a manifold with a local Harnack inequality
- Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends
- Global lower bound for the heat kernel of -Δ+\frac{𝑐}|𝑥|²
- Isoperimetric Constants, the Geometry of Ends, and Large Time Heat Diffusion in Riemannian Manifolds
- The conservation property of the heat equation on riemannian manifolds
- Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set
- SHARP HEAT KERNEL BOUNDS FOR SOME LAPLACE OPERATORS
- Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications
- Explicit Constants for Gaussian Upper Bounds on Heat Kernels
- A lower bound for the heat kernel
- On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
- DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- The State of the Art for Heat Kernel Bounds on Negatively Curved Manifolds
- Non-Gaussian Aspects of Heat Kernel Behaviour
- Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces
- Sobolev met Poincaré
- Spaces of Harmonic Functions
- Dirichlet heat kernel in the exterior of a compact set
- Heat Kernel Lower Bounds on Riemannian Manifolds Using the Old Ideas of Nash
- Bounds for the fundamental solution of a parabolic equation