A comparison estimate for the heat equation with an application to the heat content of the S-adic von Koch snowflake

Bulletin of the London Mathematical Society

Volumn 30, Issue 4, 1998, Pages 404-412

  Van Den Berg, M ^a   Gilkey, P B ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032129015     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609398004469     Document Type: Article

References (10)

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3. M. VAN DEN BERG and P. B. GILKEY, 'Heat equation with inhomogeneous Dirichlet boundary conditions', Comm. Anal. Geom., to appear.
4. 2 with a polygonal boundary', Probab. Theory Related Fields 86 (1990) 41-52.
5. K. FALCONER, Fractal geometry, mathematical foundations and applications (John Wiley, Chichester, 1990).
6. J. FLECKINGER, M. LEVITIN and D. VASSILIEV, 'Heat content of the triadic von Koch snowflake', Internat. J. Appl. Sci. Comput. 2 (1995) 289-305.
7. J. FLECKINGER, M. LEVITIN and D. VASSILIEV, 'Heat equation on the triadic von Koch snowflake: asymptotic and numerical analysis', Proc. London Math. Soc. (3) 71 (1995) 372-396.
8. E. P. HSU, 'On the principle of not feeling the boundary for diffusion processes', J. London Math. Soc. (2) 51 (1995) 373-382.
9. M. KAC, 'Can one hear the shape of a drum?', Amer. Math. Monthly 73 (1966) 1-23.
10. M. LEVITIN and D. VASSILIEV, 'Spectral asymptotics, renewal theorem, and the Berry conjecture for a class of fractals', Proc. London Math. Soc. (3) 72 (1996) 188-214.