On the Anormal Uniqueness for a Class of First Order Coupled Elliptic System

Abstract

In this paper, we studied and completely solved the problem on the anornal uniqueness of the equation system {u_x + ixu_y = -ix²Φv_y v_z + ixu_y = -ix²Φv_y The so-called anormal uniqueness means as follows: suppose all order derivatives of u vanish on ∂D, one can draw the conclusions of u = 0(D), v ≡ const(D).