Accession Number:

AD0265259

Title:

SOME UNIQUENESS THEOREMS FOR THE REDUCED WAVE EQUATION

Descriptive Note:

Corporate Author:

NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s):

• LEVINE,LEO M.

Report Date:

1961-06-01

Pagination or Media Count:

1.0

Abstract:

V ARIOUS EXTENSIONS OF THE Magnus-Rellich uniqueness t eorem for th reduced wave equation in infinite domains are treated. The theorem is extended to cover piecewise smooth boundary surfaces of a general kind, and mi ed boundary condi ions no uxiliary 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 exten ion treats infinite bound ries for real value of propaga ion constant, these are restricted to surfaces which are generalized co sufficiently far from the origin. Author

Descriptors:

• *CONICAL BODIES
• *SPHERES
• *WAVES
• MATHEMATICAL ANALYSIS
• ELASTIC PROPERTIES
• ELECTROMAGNETIC RADIATION
• VIBRATION

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE