The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves

P. A. Krutitskii

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-8

Abstract:

The Neumann problem for the dissipative Helmholtz equation in a connected plane region bounded by closed and open curves is studied. The existence of classical solution is proved by potential theory. The problem is reduced to the Fredholm equation of the second kind, which is uniquely solvable. Our approach holds for both internal and external domains.

Date: 1998
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/21/308417.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/21/308417.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:308417

DOI: 10.1155/S0161171298000301

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().