Lipschitz区域上的L^p-边值问题的惟一性

THE UNIQUENESS FOR THE L^p-BOUNDARY VALUE PROBLEMS IN LIPSCHITZ DOMAINS

本文研究 L ipschitz区域上薛定鄂方程 -Δu +Vu+iλu=0的 Lp-边值问题 ,其中 1<p<n- 1,V是非负奇异位势满足逆 Holder条件 Bn2 ,λ是实参数 .证明了 Lp -边值的 Neumann问题和正则 Dirichlet问题的惟一性定理 .

Let DR n(n>2) be the region above a Lipschitz graph,the uniqueness theorems of the L p boundary value problems have been founded for Schrdinger equation of the form -Δu+Vu+iλu=0 with 1<p<n-1 and any real parameter λ and some potential V belonging to the reverse Hlder classes B n2 .