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Seminario di Equazioni Differenziali e Applicazioni: A Harnack's inequality and Holder continuity for solutions of elliptic-parabolic and forward-backward parabolic equations

Mercoledì 6 Aprile 2016, ore 12:00 - Aula 1BC45 - Fabio Paronetto

ARGOMENTI: Seminari

SEMINARIO DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI

Mercoledì 6 Aprile 2016 alle ore 12:00 in Aula 1BC45, Fabio Paronetto (Università di Padova) terrà un seminario dal titolo "A Harnack's inequality and Holder continuity for solutions of elliptic-parabolic and forward-backward parabolic equations".

Abstract
In this talk I will present very briefly some equations of mixed type with particular attention to some equations of elliptic-parabolic type which may be parabolic both forward and backward. We will present a Harnack's inequality holding for the solutions, but not only the solutions, of this type of equations, obtained adapting a technique due to DiBenedetto, Gianazza and Vespri, by which one can derive, as by-products, other results, such as Holder continuity of the solutions.

Rif. Int. M. Bardi, P. Mannucci, C. Marchi.

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