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Global Dirichlet Heat Kernel Estimates for Symmetric Lévy Processes in Half-Space.
- Source :
-
Acta Applicandae Mathematicae . Dec2016, Vol. 146 Issue 1, p113-143. 31p. - Publication Year :
- 2016
-
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) Lévy processes on half spaces for all $t>0$ . These Lévy processes may or may not have Gaussian component. When Lévy density is comparable to a decreasing function with damping exponent $\beta$ , our estimate is explicit in terms of the distance to the boundary, the Lévy exponent and the damping exponent $\beta$ of Lévy density. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01678019
- Volume :
- 146
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta Applicandae Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 119309400
- Full Text :
- https://doi.org/10.1007/s10440-016-0061-6