A geometric statement of the Harnack inequality for a degenerate Kolmogorov equation with rough coefficients

Authors :: Anceschi, Francesca
Eleuteri, Michela
Polidoro, Sergio
Source :: Communications in Contemporary Mathematics - Volume n{\deg} 21 Issue n{\deg} 07 (2019)
Publication Year :: 2018
Abstract: We consider weak solutions of degenerate second order partial differential equations of Kolmogorov-Fokker-Planck type with measurable coefficients in divergence form. We give a geometric statement of the Harnack inequality recently proven by Golse, Imbert, Mouhot and Vasseur. As a corollary we obtain a strong maximum principle.<br />Comment: 16 pages, 3 figures

Database :: arXiv
Journal :: Communications in Contemporary Mathematics - Volume n{\deg} 21 Issue n{\deg} 07 (2019)
Publication Type :: Report
Accession number :: edsarx.1801.03847
Document Type :: Working Paper
Full Text :: https://doi.org/10.1142/S0219199718500578

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