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On the kinetic Fokker-Planck equation in the half-space with absorbing barriers

Title
On the kinetic Fokker-Planck equation in the half-space with absorbing barriers
Authors
Hwang, HJJang, JJung, J
Date Issued
Dec-2015
Publisher
Indiana University Press
Abstract
We establish a well-posedness theory of classical solutions of the Fokker-Planck equation-the forward Kolmogorov equation in the half-space R-+(3) with absorbing boundary conditions. We first build a theory for the regularized equations near the singular set by the method of characteristics, and then pass to the limit by uniform L-1 and L-infinity estimates. We prove the hypoellipticity up to the boundary away from the singular set, and moreover, we show that the solutions are Holder continuous up to the singular set.
URI
http://oasis.postech.ac.kr/handle/2014.oak/13071
ISSN
0022-2518
Article Type
Article
Citation
Indiana University Mathematics Journal, 2015-12
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황형주HWANG, HYUNG JU
Dept of Mathematics
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