We provide a proof of strong maximum and minimum principles for fully nonlinear uniformly parabolic equations of second order. The approach is of parabolic nature and does not exploit the parabolic Harnack inequality.
On the strong maximum principle for fully nonlinear parabolic equations of second order / Goffi, Alessandro. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 1088-6826. - ELETTRONICO. - 153:(2025), pp. 1575-1583. [10.1090/proc/17050]
On the strong maximum principle for fully nonlinear parabolic equations of second order
Goffi, Alessandro
2025
Abstract
We provide a proof of strong maximum and minimum principles for fully nonlinear uniformly parabolic equations of second order. The approach is of parabolic nature and does not exploit the parabolic Harnack inequality.
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