Some uniqueness theorems for the reduced wave equation

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049 ‡aMAIN
086 0 ‡aD 301.45/1017
100 1 ‡aLevine, Leo M., ‡eauthor.
245 1 0 ‡aSome uniqueness theorems for the reduced wave equation / ‡cLeo M. Levine, New York Univesity, Institute of Mathematical Sciences, Division of Electromagnetic Research.
264 1 ‡aWashington, D.C. : ‡bMathematics Division, Air Force Office of Scientific Research, ‡c1961.
300 ‡a96, 2 pages ; ‡c28 cm
336 ‡atext ‡btxt ‡2rdacontent
337 ‡aunmediated ‡bn ‡2rdamedia
338 ‡avolume ‡bnc ‡2rdacarrier
490 0 ‡aAir Force Office of Scientific Research ; ‡vAFOSR 1017.
500 ‡aJune 1961.
500 ‡aProject No. 47500.
500 ‡aContract No. AF 49(638)-229.
500 ‡aResearch Report No. BR-33.
504 ‡aIncludes bibliographic references.
506 ‡aAPPROVED FOR PUBLIC RELEASE.
520 3 ‡aThis 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.
538 ‡aMode of access: Internet.
650 1 7 ‡aWaves. ‡2dtict
650 1 7 ‡aSpheres. ‡2dtict
650 1 7 ‡aConical bodies. ‡2dtict
650 0 ‡aVibration.
650 0 ‡aElectromagnetic waves.
650 0 ‡aElasticity.
650 0 ‡aMathematical analysis.
710 1 ‡aUnited States. ‡bAir Force. ‡bOffice of Scientific Research.
710 2 ‡aNew York University. ‡bInstitute of Mathematical Sciences. ‡bDivision of Electromagnetic Research.
730 0 ‡aTechnical Report Archive & Image Library (TRAIL)
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