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Showing 1 to 4 of 4 for “"Boundary Harnack principle"”.
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Potential Theory for Subordinate Brownian Motion by Tempered Stable Subordinator
… Recently for a bounded open set D with C1,1 boundary, the Green functions of the killed symmetric alpha-stable processes and relativistic alpha-stable processes upon leaving D were studied and sharp estimates were established. Under some assumptions on the Levy measure of the subordinator {Zt …
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Potential Theory for Subordinate Killed Brownian Motion in Some Unbounded Domains
… each domain, we are able to identify the Martin boundary and the minimal Martin boundary, and then obtain the canonical representation of the positive harmonic functions in terms of the Martin boundary and the Martin kernel. Moreover, each positive harmonic function consists of two nonnegative …
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Potential Theory of Generalized Hyperbolic Processes
… jumping function of Yt near zero. We prove that Harnack inequality is valid for nonnegative harmonic functions of Yt. In chapter 3, we show that the rotationally invariant generalized hyperbolic processes in a bounded C1,1 open set D can be obtained from rotationally invariant Cauchy processes in …
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Potential theory of subordinate Brownian motions and their perturbations
Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-04-09T16:14:28Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Hyunchul_Park.pdf: 539321 bytes, checksum: bcfd0a5064cd6d8ec336a32baba3522b (MD5)