Hölder continuity of local weak solutions for parabolic equations exhibiting two degeneracies

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Abstract

We consider equations of the form where v ε [0, 1] and α(v) degenerates for v = 0 and v = 1. We show that local weak solutions are locally Höolder continuous provided a behaves like a power near the two degeneracies. We adopt the technique of intrinsic rescaling developed by DiBenedetto.
Original languageEnglish (US)
Pages (from-to)327-358
Number of pages32
JournalAdvances in Differential Equations
Volume6
Issue number3
StatePublished - Dec 1 2001
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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