Abstract
We give a genuinely n-dimensional construction of uniformly elliptic operators L in R+n(of divergence form, and of nondivergence form), which have positive L-harmonic measures on a class of porous sets on with zero surface measure. The porosity condition given is sharp. The earlier methods were all two dimensional.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 455-473 |
| Number of pages | 19 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 346 |
| Issue number | 2 |
| DOIs | |
| State | Published - Dec 1994 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics