Li-Yau inequalities for general non-local diffusion equations via reduction to the heat kernel
From MaRDI portal
Publication:2697564
DOI10.1007/s00208-021-02350-zOpenAlexW3114024986WikidataQ124833851 ScholiaQ124833851MaRDI QIDQ2697564
Publication date: 12 April 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12974
A priori estimates in context of PDEs (35B45) Discrete version of topics in analysis (39A12) Continuous-time Markov processes on discrete state spaces (60J27) Variational methods for higher-order elliptic equations (35J35) Fractional partial differential equations (35R11) Heat kernel (35K08)
Related Items (1)
Cites Work
- Unnamed Item
- Optimal existence and uniqueness theory for the fractional heat equation
- A Widder's type theorem for the heat equation with nonlocal diffusion
- Some constructions for the fractional Laplacian on noncompact manifolds
- On the parabolic kernel of the Schrödinger operator
- Li-Yau inequality on finite graphs via non-linear curvature dimension conditions
- Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
- The Li-Yau inequality and applications under a curvature-dimension condition
- Integral representation for fractional Laplace-Beltrami operators
- The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains
- On the parabolic Harnack inequality for non-local diffusion equations
- Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities
- Li-Yau inequality on graphs
- Classical solutions and higher regularity for nonlinear fractional diffusion equations
- Heat kernel estimates for stable-like processes on \(d\)-sets.
- Hölder estimates for non-local parabolic equations with critical drift
- Transition Probabilities for Symmetric Jump Processes
- ASYMPTOTIC BEHAVIORS OF FUNDAMENTAL SOLUTION AND ITS DERIVATIVES TO FRACTIONAL DIFFUSION-WAVE EQUATIONS
- Some Theorems on Stable Processes
- Harnack-Type Inequalities for Evolution Equations
- Markov Chains
- Analysis and Geometry of Markov Diffusion Operators
- Discrete versions of the Li-Yau gradient estimate
- The fractional Laplacian has infinite dimension
- Fractional thoughts
This page was built for publication: Li-Yau inequalities for general non-local diffusion equations via reduction to the heat kernel