Subexponential behaviour of the Dirichlet heat kernel

Journal of Functional Analysis

Volumn 198, Issue 1, 2003, Pages 28-42

  van den Berg, M ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Dirichlet; Heat kernel; Subexponential

Indexed keywords

EID: 0037455881     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1236(02)00056-3     Document Type: Article

References (10)

1. R. Bañuelos, R.D. De Blassie, R.G. Smits, The first exit time of planar Brownian motion from the interior of a parabola, Ann. Probab. 29 (2001) 882-901.
2. r. Bañuelos, R.G. Smits, Brownian motion in cones, Probab. Theory Related Fields 108 (1997) 299-319.
3. M. van den Berg, Gaussian bounds for the Dirichlet heat kernel, J. Funct. Anal. 88 (1990) 267-278.
4. M. van den Berg, A gaussian lower bound for Dirichlet heat kernel, Bull. Lond. Math. Soc. 24 (1992) 475-477.
5. P. Collet, S. Martínez, J. San Martin, Asymptotic behaviour of a Brownian motion on exterior domains, Probab. Theory Related Fields 116 (2000) 303-316.
6. J.L. Doob, Classical Potential Theory and its Probabilistic Counterpart, Springer, New York, 1984.
7. W.V. Li, The first exit time from unbounded domains, preprint, 2000.
8. M. Lifshits, Z. Shi, The first exit time of Brownian motion from a parabolic domain Bernoulli 8 (2002) 745-765.
9. N.S. Trudinger, Pointwise estimates and quasilinear parabolic equations, Comm. Pure Appl. Math. 21 (1968) 205-226.
10. G.N. Watson, A. Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, 1966.