首页 | 本学科首页   官方微博 | 高级检索  
     


A proof for the Burton and Miller integral equation approach for the Helmholtz equation
Authors:Tzu-Chu Lin
Affiliation:Department of Mathematics, University of Wisconsin, P. O. Box 413, Milwaukee, Wisconsin 53201 USA
Abstract:The A. J. Burton and G. F. Miller integral equation formulation for the exterior Neumann problem for the Helmholtz equation [Proc. Roy. Soc. London Ser. A323 (1971), 201–210] is one of the most important integral equation approaches in that area. However, the kind of space settings they are working with is not clear. Evidently, the Fredholm integral equation of the second kind which they deduced is not well defined on the usual C(S) or L2(S), where S is a closed bounded smooth surface. In this paper, appropriate space settings are found and a rigorous existence and uniqueness proof for their integral equation formulation is given.
Keywords:
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号