Parabolic Harnack inequality for the mixture of Brownian motion and stable process

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概要

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• Let $X$ be a mixture of independent Brownian motion and symmetric stable process. In this paper we establish sharp bounds for transition density of $X$, and prove a parabolic Harnack inequality for nonnegative parabolic functions of $X$.

• 東北大学の論文

著者

• Vondracek Zoran

  Department Of Mathematics University Of Illinois At Urbana-champaign

• Song Renming

  Department of Mathematics, University of Illinois

• Song Renming

  Department Of Mathematics University Of Illinois

関連論文

• Parabolic Harnack inequality for the mixture of Brownian motion and stable process
• Hardy inequality for censored stable processes
• Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains

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