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Seminar

Language	English
From	2009/06/26 15:30
To	2009/06/26 17:00
Place	Room 552, Building No.3, Faculty of Science, Kyoto University
Seminar Name	Kansai Probability Theory Seminar
Title	The boundary Haranck principle of the independent sum of Brownian motion and symmetric stable process.
Field	Analysis
Speakers	Panki Kim
Affiliation	Seoul National University
Abstract	In this talk, we consider the family of pseudo differential operators { $\Delta$ + $b\Delta^{\alpha/2}$ ; $b\in [0,1]$ } that evolves continuously from $\Delta$ to $\Delta$ + $\Delta^{\alpha/2}$ . We establish a uniform boundary Harnack principle with explicit boundary decay rate for nonnegative functions which are harmonic with respect to $\Delta$ + $b$ $\Delta^{\alpha/2}$ (or equivalently, the sum of a Brownian motion and an independent symmetric $\alpha$ -stable process with constant multiple $b^{1/\alpha}$ ) in $C^{1, 1}$ open sets.