Divergence form operators in Reifenberg flat domains

Autor: Milakis, E., Toro, T.
Rok vydání: 2008
Předmět:
Druh dokumentu: Working Paper
Popis: We study the boundary regularity of solutions of elliptic operators in divergence form with $C^{0,\alpha}$ coefficients or operators which are small perturbations of the Laplacian in non-smooth domains. We show that, as in the case of the Laplacian, there exists a close relationship between the regularity of the corresponding elliptic measure and the geometry of the domain.
Comment: 32 pages
Databáze: arXiv