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Global Dirichlet Heat Kernel Estimates for Symmetric Levy Processes in Half-Space
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Cited 10 time in Scopus
- Authors
- Issue Date
- 2016-12
- Publisher
- Kluwer Academic Publishers
- Citation
- Acta Applicandae Mathematicae, Vol.146 No.1, pp.113-143
- Abstract
- In this paper, we derive explicit sharp two-sided estimates for the Dirichlet heat kernels of a large class of symmetric (but not necessarily rotationally symmetric) Levy processes on half spaces for all . These L,vy processes may or may not have Gaussian component. When Levy density is comparable to a decreasing function with damping exponent, our estimate is explicit in terms of the distance to the boundary, the Levy exponent and the damping exponent of Levy density.
- ISSN
- 0167-8019
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