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 language | English (US) |
|---|---|
| Pages (from-to) | 4947-4961 |
| Number of pages | 15 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 351 |
| Issue number | 12 |
| DOIs | |
| State | Published - 1999 |
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