scientific article; zbMATH DE number 7160812

zbMath1432.53055MaRDI QIDQ5212938

Isaac A. Animasahun, Abimbola Abolarinwa, Adekunle Adefolarin

Publication date: 30 January 2020

Full work available at URL: http://bmathaa.org/repository/docs/BMAA11-1-3.pdf

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

zbMATH Keywords

Ricci tensorheat kernelSobolev inequalitiesbest constant

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Ricci flows (53E20)

Cites Work

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• Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
• Sobolev type inequalities on Riemannian manifolds
• On the parabolic kernel of the Schrödinger operator
• Upper bounds for symmetric Markov transition functions
• Best constant in Sobolev inequality
• On manifolds with non-negative Ricci curvature and Sobolev inequalities
• Heat kernel upper bounds on a complete non-compact manifold
• On-diagonal lower bounds for heat kernels and Markov chains
• Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
• Large time behavior of the heat kernel
• Explicit Constants for Gaussian Upper Bounds on Heat Kernels
• Sobolev inequalities in disguise