Heat kernel bounds and Ricci curvature for Lipschitz manifolds
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Publication:6123271
DOI10.1016/j.spa.2023.104292arXiv2111.12607OpenAlexW3216473862MaRDI QIDQ6123271
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Publication date: 4 March 2024
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.12607
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Schrödinger and Feynman-Kac semigroups (47D08) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36) Lipschitz and coarse geometry of metric spaces (51F30)
Cites Work
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- Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
- Heat kernels in the context of Kato potentials on arbitrary manifolds
- Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds
- Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds
- Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
- Integral distance on a Lipschitz Riemannian manifold
- \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds
- Manifolds with transverse fields in euclidean space
- Uniformly elliptic operators on Riemannian manifolds
- Quasiconformal 4-manifolds
- Analysis of the Laplacian on a complete Riemannian manifold
- Differential forms on Lipschitz manifolds
- Kato's inequality and the spectral distribution of Laplacians on compact Riemannian manifolds
- Heat kernel bounds on manifolds
- Dirichlet forms and analysis on Wiener space
- On-diagonal lower bounds for heat kernels and Markov chains
- Heat kernel asymptotics and the distance function in Lipschitz Riemannian manifolds
- Quantum confinement on non-complete Riemannian manifolds
- Eigenvalue estimates and differential form Laplacians on Alexandrov spaces
- Covariant Schrödinger semigroups on Riemannian manifolds
- Bakry-Émery conditions on almost smooth metric measure spaces
- Li-Yau gradient estimate for compact manifolds with negative part of Ricci curvature in the Kato class
- Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
- Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
- Perturbation of Dirichlet forms by measures
- Is a diffusion process determined by its intrinsic metric?
- Stratified spaces and synthetic Ricci curvature bounds
- Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature
- Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds
- Molecules as metric measure spaces with Kato-bounded Ricci curvature
- Geometric inequalities for manifolds with Ricci curvature in the Kato class
- Distribution-valued Ricci bounds for metric measure spaces, singular time changes, and gradient estimates for Neumann heat flows
- On the geometry of metric measure spaces. II
- A manifold which does not admit any differentiable structure
- Schrödinger operators with singular potentials
- Length of curves on LIP manifolds
- Geometric and spectral estimates based on spectral Ricci curvature assumptions
- THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS
- Brownian motion and harnack inequality for Schrödinger operators
- Elements of Lipschitz topology
- Essential self adjointness of laplacians on riemannian manifolds with fractal boundary
- Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
- Optimal Transport
- On the relation between elliptic and parabolic Harnack inequalities
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