The Dirichlet problem for elliptic equations in divergence and nondivergence form with singular drift term
| dc.creator | Rios, Cristian | |
| dc.date | 2005-10-18 | |
| dc.date.accessioned | 2026-07-07T06:47:37Z | |
| dc.date.available | 2026-07-07T06:47:37Z | |
| dc.description | Given two elliptic operators L and M in nondivergence form, with coefficients A_L(x), A_M(x) and drift terms b_L(x), b_M(x), respectively, satisfying a Carleson measure disagreement condition in a Lipschitz domain Omega in R^{n+1}, then their harmonic measures are mutually absolutely continuous. As an application of this, a new approximation argument and known results we obtain necessary and sufficient conditions for a single operator L (in divergence or nondivergence form) to have regular harmonic measure with respect to Lebesgue measure. The results are sharp in all cases. | |
| dc.description | 29 pages, 0 figures | |
| dc.identifier | https://arxiv.org/abs/math/0510393 | |
| dc.identifier | http://arxiv.org/abs/math/0510393 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103716 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J15; 35J25 ; 35A05; 35B20; 35R05 | |
| dc.title | The Dirichlet problem for elliptic equations in divergence and nondivergence form with singular drift term | |
| dc.type | text |