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‡aMAIN
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‡aD 301.45/1017
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‡aLevine, Leo M.,
‡eauthor.
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‡aSome uniqueness theorems for the reduced wave equation /
‡cLeo M. Levine, New York Univesity, Institute of Mathematical Sciences, Division of Electromagnetic Research.
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‡aWashington, D.C. :
‡bMathematics Division, Air Force Office of Scientific Research,
‡c1961.
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‡a96, 2 pages ;
‡c28 cm
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‡atext
‡btxt
‡2rdacontent
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‡aunmediated
‡bn
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‡avolume
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‡aAir Force Office of Scientific Research ;
‡vAFOSR 1017.
|
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‡aJune 1961.
|
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‡aProject No. 47500.
|
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‡aContract No. AF 49(638)-229.
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‡aResearch Report No. BR-33.
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‡aIncludes bibliographic references.
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‡aAPPROVED FOR PUBLIC RELEASE.
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‡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.
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‡aMode of access: Internet.
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‡aWaves.
‡2dtict
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1 |
7 |
‡aSpheres.
‡2dtict
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1 |
7 |
‡aConical bodies.
‡2dtict
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‡aVibration.
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‡aElectromagnetic waves.
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‡aElasticity.
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‡aMathematical analysis.
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‡aUnited States.
‡bAir Force.
‡bOffice of Scientific Research.
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‡aNew York University.
‡bInstitute of Mathematical Sciences.
‡bDivision of Electromagnetic Research.
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‡aTechnical Report Archive & Image Library (TRAIL)
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‡a39015095249663
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