scientific article; zbMATH DE number 7822549

DOI10.12386/a20210040MaRDI QIDQ6200164

Jian-Hong Wang

Publication date: 22 March 2024

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

heat equationvolume comparison theoremintegral Ricci curvatureelliptic gradient estimate

Mathematics Subject Classification ID

Heat equation (35K05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Cites Work

• Unnamed Item
• Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
• Regularity of Kähler-Ricci flows on Fano manifolds
• Differential Harnack inequalities on Riemannian manifolds. I: Linear heat equation
• The Harnack estimate for the Ricci flow
• Some integral curvature estimates for the Ricci flow in four dimensions
• Harnack estimates for nonlinear heat equations with potentials in geometric flows
• A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow
• Gradient estimates for the heat equation under the Ricci flow
• Li-Yau type estimates for a nonlinear parabolic equation on complete manifolds
• On the parabolic kernel of the Schrödinger operator
• A matrix Harnack estimate for the heat equation
• Relative volume comparison with integral curvature bounds
• On the structure of spaces with Ricci curvature bounded below. I
• New Li-Yau-Hamilton inequalities for the Ricci flow via the space-time approach
• On the structure of spaces with Ricci curvature bounded below. II
• Local Sobolev constant estimate for integral Ricci curvature bounds
• Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions
• Matrix Li-Yau-Hamilton estimates for the heat equation on Kähler manifolds
• Harnack inequality for non-self-adjoint evolution equations
• Differential Harnack estimates for time-dependent heat equations with potentials
• SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
• Convergence of riemannian manifolds with integral bounds on curvature. I
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications
• Hamilton’s gradient estimate for the heat kernel on complete manifolds