The boundary Harnack principle for non-divergence form elliptic operators
| dc.contributor.author | Burdzy, Krzysztof | |
| dc.contributor.author | Bass, Richard F. | |
| dc.date.accessioned | 2005-11-18T19:17:48Z | |
| dc.date.available | 2005-11-18T19:17:48Z | |
| dc.date.issued | 1994 | |
| dc.description.abstract | If L is a uniformly elliptic operator in non–divergence form, the boundary Harnack principle for the ratio of positive L–harmonic functions holds in Hölder domains of order [alpha] if [alpha] > 1/2. A counterexample shows that 1/2 is sharp. For Hölder domains of order [alpha] with [alpha is an element of the set] (0, 1], the boundary Harnack principle holds provided the domain also satisfies a strong uniform regularity condition. | en |
| dc.description.sponsorship | Research partially supported by NSF grants DMS 8822053 and DMS 8901255. | en |
| dc.format.extent | 179681 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | Bass, R.F. & K. Burdzy. (1994). The boundary Harnack principle for non-divergence form elliptic operators. Journal of the London Mathematical Society, 50, 157-169. | en |
| dc.identifier.uri | http://hdl.handle.net/1773/2174 | |
| dc.language.iso | en_US | |
| dc.publisher | Cambridge University Press | en |
| dc.subject | boundary Harnack principle | en |
| dc.subject | Hölder domains | en |
| dc.title | The boundary Harnack principle for non-divergence form elliptic operators | en |
| dc.type | Article | en |