Behavior near the boundary of positive solutions of second order parabolic equations. II

E. B. Fabes, M. V. Safonov, Y. U. Yuan

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

A boundary backward Harnack inequality is proved for positive solutions of second order parabolic equations in non-divergence form in a bounded cylinder Q = fi x (0,T) which vanish on dxQ = dfl x (0,T), where Q is a bounded Lipschitz domain in R". This inequality is applied to the proof of the Holder continuity of the quotient of two positive solutions vanishing on a portion of dxQ.

Original languageEnglish (US)
Pages (from-to)4947-4961
Number of pages15
JournalTransactions of the American Mathematical Society
Volume351
Issue number12
DOIs
StatePublished - 1999

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