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OFF-DIAGONAL HEAT KERNEL LOWER BOUNDS WITHOUT POINCARÉ
- Source :
- Journal of the London Mathematical Society, Journal of the London Mathematical Society, London Mathematical Society, 2003, 68, 3, pp.795-816
- Publication Year :
- 2003
- Publisher :
- Wiley, 2003.
-
Abstract
- On a manifold with polynomial volume growth satisfying Gaussian upper bounds of the heat kernel, a simple characterization of the matching lower bounds is given in terms of a certain Sobolev inequality. The method also works in the case of so-called sub-Gaussian or sub-diffusive heat kernels estimates, which are typical of fractals. Together with previously known results, this yields a new characterization of the full upper and lower Gaussian or sub-Gaussian heat kernel estimates.
- Subjects :
- Polynomial
Matching (graph theory)
General Mathematics
Gaussian
010102 general mathematics
Diagonal
01 natural sciences
Manifold
Sobolev inequality
symbols.namesake
Simple (abstract algebra)
0103 physical sciences
symbols
Applied mathematics
010307 mathematical physics
0101 mathematics
Heat kernel
Mathematics
Subjects
Details
- ISSN :
- 14697750 and 00246107
- Volume :
- 68
- Database :
- OpenAIRE
- Journal :
- Journal of the London Mathematical Society
- Accession number :
- edsair.doi.dedup.....834ed3813e972651710a229436c552f6