Abstract
We give a proof of the Hölder continuity of weak solutions of certain degenerate doubly nonlinear parabolic equations in measure spaces. We only assume the measure to be a doubling nontrivial Borel measure which supports a Poincaré inequality. The proof discriminates between large scales, for which a Harnack inequality is used, and small scales, which require intrinsic scaling methods.
Original language | English (US) |
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Pages (from-to) | 399-430 |
Number of pages | 32 |
Journal | Indiana University Mathematics Journal |
Volume | 61 |
Issue number | 1 |
DOIs | |
State | Published - Dec 1 2012 |
Externally published | Yes |
Bibliographical note
Generated from Scopus record by KAUST IRTS on 2023-02-15ASJC Scopus subject areas
- General Mathematics