Upper bounds for the heat kernel for conformally Euclidean manifolds

DOI10.1016/0034-4877(89)90032-3zbMath0711.58029OpenAlexW2087625280MaRDI QIDQ923461

Elsie Sterbin Gottlieb

Publication date: 1989

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(89)90032-3

zbMATH Keywords

heat equationfundamental solutionheat kernelconformally Euclidean manifoldElworthy-Truman formulaRuse's invariant

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Heat equation (35K05) Global Riemannian geometry, including pinching (53C20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

NOTES ON CONFORMAL PERTURBATION OF HEAT KERNELS

Cites Work

• On the Schrödinger equation and the eigenvalue problem
• Manifolds for which the heat kernel is given in terms of geodesic lengths
• Diffusion processes in a small time interval
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