Abstract
We establish a local boundedness estimate for weak subsolutions to a doubly nonlinear parabolic fractional p-Laplace equation. Our argument relies on energy estimates and a parabolic nonlocal version of De Giorgi’s method. Furthermore, by means of a new algebraic inequality, we show that positive weak supersolutions satisfy a reverse Hölder inequality. Finally, we also prove a logarithmic decay estimate for positive supersolutions.
Original language | English |
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Pages (from-to) | 1717-1751 |
Number of pages | 35 |
Journal | Annali di Matematica Pura ed Applicata |
Volume | 201 |
Issue number | 4 |
DOIs | |
State | Published - 1 Aug 2022 |
Externally published | Yes |
Keywords
- De Giorgi’s method
- Doubly nonlinear parabolic equation
- Energy estimates
- Fractional p-Laplace equation
ASJC Scopus subject areas
- Applied Mathematics