ON THE NEUMANN PROBLEM FOR SCHRODINGER-OPERATORS IN LIPSCHITZ-DOMAINS

被引：53

作者：

SHEN, ZW

机构：

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1994年 / 43卷 / 01期

关键词：

D O I：

10.1512/iumj.1994.43.43007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the L(p)-Neumann problem for the Schrodinger operator -DELTA + V in the region above a Lipschitz graph. For 1 < p less-than-or-equal-to 2, it is shown that, under suitable conditions on the potential V, there exists a unique solution u such that the nontangential maximal function of del u is in L(p).

引用

页码：143 / 176

页数：34

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