Square Functions and the A∞Property of Elliptic Measures.

Autor: Kenig, C., Kirchheim, B., Pipher, J., Toro, T.
Zdroj: Journal of Geometric Analysis; Jul2016, Vol. 26 Issue 3, p2383-2410, 28p
Abstrakt: In this paper, we provide a new means of establishing solvability of the Dirichlet problem on Lipschitz domains, with measurable data, for second order elliptic, nonsymmetric divergence form operators. We will show that a certain optimal Carleson measure estimate for bounded solutions of such operators implies a regularity result for the associated elliptic measure. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index