Sharp heat kernel bounds and Finsler-type metrics

Quarterly Journal of Mathematics

Volumn 49, Issue 195, 1998, Pages 261-277

  Barbatis, Gerassimos ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032172024     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmath/49.195.261     Document Type: Article

References (17)

1. S. Agmon, Lectures on exponential decay of solutions of second-order elliptic equations. Mathematical Notes, Princeton University Press, 1982.
2. P. Auscher, T. Coulhon, and P. Tchamitchian, 'Absence de principe du maximum pour certaines équations paraboliques complexes', to appear in Coll. Math.
3. P. Auscher, A. McIntoch, and P. Tchamitchian, 'Heat kernels of second order complex elliptic operators and applications', to appear in the J. of Functional Analysis.
4. G. Barbatis, and E. B. Davies, 'Sharp bounds on heat kernels of higher order uniformly elliptic operators', J. of Operator Theory, 36 (1996), 179-198.
5. H. Busemann, Metric methods in Finsler spaces and in the foundations of geometry, Princeton University Press, 1942.
6. E. B. Davies, 'Explicit constants for Gaussian upper bounds on heat kernels', Amer. J. of Math., 109 (1987), 319-334.
7. E. B. Davies, 'Uniformly elliptic operators with measurable coefficients', J. of Functional Analysis, 132 (1995), 141-169.
8. p regularity of self-adjoint elliptic operators', Preprint 1996.
9. A. F. M. Elst, and D. W. Robinson, 'High order divergence-form elliptic operators on Lie groups', Preprint 1996.
10. M. A. Evgrafov, and M. M. Postnikov, 'Asymptotic behaviour of Green's functions for parabolic and elliptic equations with constant coefficients', Math. USSR Sbornik, 11 (1970), 1-24.
11. M. A. Evgrafov, and M. M. Postnikov, 'More on the asymptotic behaviour of the Green's functions of parabolic equations with constant coefficients', (Russian) Mat. Sb. 92 (134) (1973), 171-194.
12. p spectrum of elliptic operators', J. Math. Mech. Appl., 108 (1985), 223-229.
13. p and spectral theory for a class of global elliptic operators', J. Operator Th., 19 (1988), 243-274.
14. p-theory of elliptic differential operators on manifolds of bounded geometry', Acta Appl. Math., 23 (1991), 223-260.
15. M. Owen, Ph.D. Thesis, Kings College London, 1996.
16. D. W. Robinson, Elliptic operators and Lie groups, Oxford University Press, Oxford, 1991.
17. K. Tintarev, 'Short time asymptotics for fundamental solutions of higher order parabolic equations', Comm. in PDEs, 7 (1982), 371-391.