作者:Auscher, Pascal; Axelsson, Andreas
作者单位:Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Australian National University; Linkoping University
摘要:We develop new solvability methods for divergence form second order, real and complex, elliptic systems above Lipschitz graphs, with L (2) boundary data. The coefficients A may depend on all variables, but are assumed to be close to coefficients A (0) that are independent of the coordinate transversal to the boundary, in the Carleson sense aEuro-A-A (0)aEuro- (C) defined by Dahlberg. We obtain a number of a priori estimates and boundary behaviour results under finiteness of aEuro-A-A (0)aEuro-...