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Kolmogorov-Fokker-Planck Equations: comparison Principles near Lipschitz type Boundaries
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
Univ Modena & Reggio Emilia, Dipartimento Sci Fis Informat & Matemat, Via Campi 218-B, I-41125 Modena, Italy.
2016 (English)In: Journal des Mathématiques Pures et Appliquées, ISSN 0021-7824, E-ISSN 1776-3371, Vol. 106, no 1, 155-202 p.Article in journal (Refereed) Published
Abstract [en]

We prove several new results concerning the boundary behavior of non-negative solutions to the equation  $\Ku=0$  where

\begin{eqnarray*}%\label{kolsim}  \K:= \sum_{i=1}^m\partial_{x_i x_i}+\sum_{i=1}^m x_i\partial_{y_{i}}-\partial_t.\end{eqnarray*}

Our results are established near the non-characteristic part of the boundary of certain local $\MLip$-domains where the latter is a class of local Lipschitz type domains adapted to the geometry of $\K$. Generalizations to more general operators of Kolmogorov-Fokker-Planck type are also discussed.

Place, publisher, year, edition, pages
2016. Vol. 106, no 1, 155-202 p.
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URN: urn:nbn:se:uu:diva-238221DOI: 10.1016/j.matpur.2016.02.007ISI: 000378189900004OAI: diva2:770458
Available from: 2014-12-10 Created: 2014-12-10 Last updated: 2016-07-27Bibliographically approved

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