On the approximation of finsler metrics on Euclidean domains

Proceedings of the Edinburgh Mathematical Society

Volumn 42, Issue 3, 1999, Pages 589-609

  Barbatis, G ^a,b  

^a KING'S COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF CRETE   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22844454014     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/s001309150002054x     Document Type: Article

References (18)

1. M. ABATE and G. PATRIZO, Finsler metrics - a global approach (Lecture Notes in Mathematics, 1591, Springer, 1994).
2. S. AGMON, Lectures on exponential decay of solutions of second-order elliptic equations (Mathematical Notes, Princeton University Press, 1982).
3. P. AUSCHER, T. COULHON and P. TCHAMITCHIAN, Absence de principe du maximum pour certaines équations paraboliques complexes, Colloq. Math., to appear.
4. G. BARBATIS and E. B. DAVIES, Sharp bounds on heat kernels of higher-order uniformly elliptic operators, J. Operator Theory 36 (1996), 179-198.
5. G. BARBATIS, Sharp heat kernel bounds and Finsler-type metrics, Quart. J. Math. Oxford Ser. (2) 49 (1998), 261-277.
6. A. BEJANCU, Finsler geometry and applications (Ellis Horwood, 1990).
7. W. M. BOOTHBY, An introduction to differentiable manifolds and Riemannian geometry (Academic Press, 1986).
8. H. BUSEMANN, Metric methods in Finsler spaces and in the foundations of geometry (Princeton University Press, 1942).
9. E. B. DAVIES, Explicit constants for Gaussian upper bounds on heat kernels, Amer. J. Math. 109 (1987), 319-334.
10. E. B. DAVIES, Uniformly elliptic operators with measurable coefficients, J. Funct. Anal. 132 (1995), 141-169.
11. p spectral theory of higher-order elliptic differential operators, Bull. London Math. Soc. 29 (1997), 513-546.
12. D. E. EDMUNDS and W. D. EVANS, Spectral theory and differential operators (Oxford University Press, 1987).
13. M. A. EVGRAFOV and M. M. POSTNIKOV, Asymptotic behavior of Green's functions for parabolic and elliptic equations with constant coefficients, Math. USSR-Sb. 11 (1970), 1-24.
14. M. A. EVGRAFOV and M. M. POSTNIKOV, More on the asymptotic behavior of the Green's functions of parabolic equations with constant coefficients, (Russian) Mat. Sb. 92 (134) (1973), 171-194.
15. M. OWEN, A Riemannian off-diagonal heat kernel bound for uniformly elliptic operators, preprint 1997.
16. D. W. ROBINSON, Elliptic operators and Lie groups (Oxford University Press, London, New York, 1991).
17. H. RUND, The differential geometry of Finsler spaces (Springer-Verlag, 1959).
18. K. TINTAREV, Short time asymptotics for fundamental solutions of higher order parabolic equations, Comm. Partial Differential Equations 7 (1982), 371-391.