Some Gradient Estimates on Covering Manifolds

• Autorzy: Nick Dungey
• Języki publikacji: EN

Abstrakty

EN

Let M be a complete Riemannian manifold which is a Galois covering, that is, M is periodic under the action of a discrete group G of isometries. Assuming that G has polynomial volume growth, we provide a new proof of Gaussian upper bounds for the gradient of the heat kernel of the Laplace operator on M. Our method also yields a control on the gradient in case G does not have polynomial growth.

Kategorie tematyczne

• 58J35: Heat and other parabolic equation methods
• 35B27: Homogenization; equations in media with periodic structure
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 4
• Strony: 437-443

Daty

wydano

2004

Twórcy

autor

Nick Dungey

• School of Mathematics, The University of New South Wales, Sydney 2052, Australia

Identyfikatory

DOI

10.4064/ba52-4-10