Uniqueness theorem for the reduced wave equation under an th order differential boundary condition

Author:
R. C. Morgan

Journal:
Proc. Amer. Math. Soc. **17** (1966), 780-787

MSC:
Primary 35.75

DOI:
https://doi.org/10.1090/S0002-9939-1966-0203279-4

MathSciNet review:
0203279

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References | Similar Articles | Additional Information

**[1]**F. C. Karal and S. N. Karp,*Phenomenological theory of multi-mode surface wave excitation, propagation and diffraction*. I, Plane Structures, New York Univ., Courant Inst. Math. Sci., Div. of Electromagnetic Res., Res. Rep. No. EM-198, 1964.**[2]**-,*Phenomenological theory of multi-mode surface wave structures*, Quasi-Optics Symposium, Brooklyn Polytechnic Inst., Wiley, New York, 1964; New York Univ., Courant Inst. Math. Sci., Div. of Electromagnetic Res., Res. Rep. No. EM-201, 1964.**[3]**Julius Kane,*A uniqueness theorem for the reduced wave equation*, Proc. Amer. Math. Soc.**12**(1961), 967–972. MR**0133588**, https://doi.org/10.1090/S0002-9939-1961-0133588-4**[4]**A. S. Peters and J. J. Stoker,*A uniqueness theorem and a new solution for Sommerfeld’s and other diffraction problems*, Comm. Pure Appl. Math.**7**(1954), 565–585. MR**0063539**, https://doi.org/10.1002/cpa.3160070307**[5]**Richard C. Morgan and Samuel N. Karp,*Uniqueness theorem for a surface wave problem in electromagnetic diffraction theory*, Comm. Pure Appl. Math.**16**(1963), 45–56. MR**0149079**, https://doi.org/10.1002/cpa.3160160107**[6]**R. C. Morgan, F. C. Karal and S. N. Karp,*Solution to the phenomenological problem of a magnetic line source above a plane structure that supports*-*excited surface wave or leaky wave modes*, New York Univ., Courant Inst. Math. Sci., Div. of Electromagnetic Res., Res. Rep. No. EM-215, 1965.**[7]**Alexander Weinstein,*On surface waves*, Canadian J. Math.**1**(1949), 271–278. MR**0030865****[8]**R. C. Morgan,*Pseudo-radiation conditions for derivatives of radiating functions*, New York Univ., Courant Inst. Math. Sci., Div. of Electromagnetic Res., Res. Rep. No. BR-54, 1965. [Cf. R. C. Morgan, Thesis; Chapter I, Part A.]

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DOI:
https://doi.org/10.1090/S0002-9939-1966-0203279-4

Article copyright:
© Copyright 1966
American Mathematical Society