ON THE EXISTENCE OF BOUNDARY VALUES OF SOLUTIONS OF AN ELLIPTIC EQUATION

Abstract

A test is established for the existence of a boundary value for the solution of the elliptic second order equation In this connection, it is proved that the solution has a property () similar to continuity with respect to all variables in , and that its boundary value is the limit in of the traces of the solution on surfaces in a large class (which are not necessarily "parallel" to the boundary).