Estimates of Green functions and harmonic measures for elliptic operators with singular drift terms
- Autores: Lofti Riahi, Abdoul Ifra
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 49, Nº 1, 2005, págs. 159-177
- Idioma: inglés
- DOI: 10.5565/publmat_49105_07
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Resumen
In this paper, we prove the existence and uniqueness of the continuous Green function G for the elliptic operator L = div(A(x)∇x)+B(x)·∇x with singular drift term B on a C1,1 bounded domain D in Rn, n ≥ 3, and its comparability to the Green function G0 of L0 = div(A(x)∇x). Basing on this result we establish the equivalence of the L-harmonic measure and the surface measure on ∂D. These results extend some first ones proved for elliptic operators with less singular drift terms.
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