# Accession Number:

## ADA089921

# Title:

## Boundary Integral Equations for the Helmholtz Equation: The Third Boundary Value Problem.

# Descriptive Note:

## Interim technical rept.,

# Corporate Author:

## DELAWARE UNIV NEWARK APPLIED MATHEMATICS INST

# Personal Author(s):

# Report Date:

## 1980-01-01

# Pagination or Media Count:

## 61.0

# Abstract:

The third boundary value problem, or Robin problem, for the Helmholtz equation in an exterior domain in R3 may be cast with Greens theorem, as a boundary integral equation. This equation is not equivalent to the original problem because it has eigenvalues at wave numbers for which the exterior problem is soluble. However, a second boundary equation is derived and it is shown that the pair is equivalent to the original boundary value problem.

# Descriptors:

# Subject Categories:

- Theoretical Mathematics