Some uniqueness theorems for the reduced wave equation /
Leo M. Levine, New York Univesity, Institute of Mathematical Sciences, Division of Electromagnetic Research.

Description

Main Author

Levine, Leo M.

Related Names

United States. Air Force.
New York University. Institute of Mathematical Sciences.

Language(s)

English

Published

Washington, D.C. : Mathematics Division, Air Force Office of Scientific Research, 1961.

Subjects

Waves.
Spheres.
Conical bodies.
Vibration.
Electromagnetic waves.
Elasticity.
Mathematical analysis.

Summary

This paper deals with various extensions of the Magnus-Rellich uniqueness theorem for the reduced wave equation in infinite domains. The theorem is extended to cover piecewise smooth boundary surfaces of a general kind, and mixed boundary conditions; no auxiliary "edge conditions" are required at edges or at discontinuities in the boundary conditions - continuity of the wave function in the closure of the domain is sufficient. Another extension treats infinite boundaries; for real values of the propagation constant, these are restricted to surfaces which are (generalized) cones sufficiently far from the origin.

Note

June 1961.
Project No. 47500.
Contract No. AF 49(638)-229.
Research Report No. BR-33.

Physical Description

96, 2 pages ; 28 cm

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