Local gradient estimates for heat equation on 𝑅𝐶𝐷*(𝑘,𝑛) metric measure spaces (Q4691361)

scientific article; zbMATH DE number 6963447

Language	Label	Description	Also known as
English	Local gradient estimates for heat equation on 𝑅𝐶𝐷*(𝑘,𝑛) metric measure spaces	scientific article; zbMATH DE number 6963447

Statements

instance of

scholarly article

0 references

title

Local gradient estimates for heat equation on 𝑅𝐶𝐷*(𝑘,𝑛) metric measure spaces (English)

0 references

author

Jia-Cheng Huang

0 references

published in

Proceedings of the American Mathematical Society

0 references

publication date

23 October 2018

0 references

zbMATH Keywords

heat equation

0 references

Yau gradient

0 references

metric measure spaces

0 references

Ricci curvature

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1090/proc/14185

0 references

cites work

Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

0 references

Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces

0 references

Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

0 references

On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces

0 references

Localization and tensorization properties of the curvature-dimension condition for metric measure spaces

0 references

The Li-Yau inequality and applications under a curvature-dimension condition

0 references

A logarithmic Sobolev form of the Li-Yau parabolic inequality

0 references

Li-Yau inequality on graphs

0 references

Harnack inequalities on a manifold with positive or negative Ricci curvature

0 references

Differentiability of Lipschitz functions on metric measure spaces

0 references

Q4041031

0 references

On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

0 references

Li-Yau and Harnack type inequalities in \(\text{RCD}^\ast (K,N)\) metric measure spaces

0 references

On the differential structure of metric measure spaces and applications

0 references

Q4453425

0 references

Sobolev met Poincaré

0 references

Sobolev classes of Banach space-valued functions and quasiconformal mappings

0 references

Q3999037

0 references

A matrix Harnack estimate for the heat equation

0 references

The Li-Yau inequality and heat kernels on metric measure spaces

0 references

Hamilton's gradient estimates and a monotonicity formula for heat flows on metric measure spaces

0 references

Sharp spectral gaps on metric measure spaces

0 references

Generalized Li−Yau estimates and Huisken’s monotonicity formula

0 references

Differential Harnack inequalities on Riemannian manifolds. I: Linear heat equation

0 references

On the parabolic kernel of the Schrödinger operator

0 references

Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds

0 references

Ricci curvature for metric-measure spaces via optimal transport

0 references

Weak curvature conditions and functional inequalities

0 references

On the Harnack inequality for parabolic minimizers in metric measure spaces

0 references

Structure theory of metric measure spaces with lower Ricci curvature bounds

0 references

Alexandrov meets Lott--Villani--Sturm

0 references

Remarks on differential Harnack inequalities

0 references

Sharp spectral gap and Li-Yau's estimate on Alexandrov spaces

0 references

Newtonian spaces: An extension of Sobolev spaces to metric measure spaces

0 references

SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS

0 references

On the geometry of metric measure spaces. I

0 references

Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations

0 references

Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality

0 references

Ricci curvature on Alexandrov spaces and rigidity theorems

0 references

Lipschitz continuity of harmonic maps between Alexandrov spaces

0 references

Local Li-Yau's estimates on \(RCD^\ast(K,N)\) metric measure spaces

0 references

Li-Yau gradient bound for collapsing manifolds under integral curvature condition

0 references

Identifiers

zbMATH Open document ID

1403.53034

0 references

DOI

10.1090/proc/14185

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:4691361