Uniqueness theorem for a multi-mode surface wave diffraction problem.
Author:
R. C. Morgan
Journal:
Quart. Appl. Math. 26 (1969), 601-604
MSC:
Primary 35.75
DOI:
https://doi.org/10.1090/qam/236535
MathSciNet review:
236535
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Abstract: Uniqueness is demonstrated for the solution to the reduced wave equation subject to a mixed boundary value condition that excites two surface wave modes. The configuration is taken as a right-angled wedge and the edge condition assumed has the form
R. C. Morgan, S. N. Karp and F. C. Karal, Multi-mode surface wave diffraction by a right-angled wedge, Quart. Appl. Math. 24, 263–266 (1966); New York Univ., Courant Inst. Math. Sci., Div. of Electromagnetic Res., Res. Rep. No. EM-213, 1965
- 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 149079, DOI https://doi.org/10.1002/cpa.3160160107
- 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 63539, DOI https://doi.org/10.1002/cpa.3160070307
- R. C. Morgan, Pseudo-radiation conditions for derivatives of radiating functions, J. Math. Anal. Appl. 18 (1967), 561–564. MR 213102, DOI https://doi.org/10.1016/0022-247X%2867%2990046-7
- R. C. Morgan, Uniqueness theorem for the reduced wave equation under an $N$th order differential boundary condition, Proc. Amer. Math. Soc. 17 (1966), 780–787. MR 203279, DOI https://doi.org/10.1090/S0002-9939-1966-0203279-4
R. C. Morgan, S. N. Karp and F. C. Karal, Multi-mode surface wave diffraction by a right-angled wedge, Quart. Appl. Math. 24, 263–266 (1966); New York Univ., Courant Inst. Math. Sci., Div. of Electromagnetic Res., Res. Rep. No. EM-213, 1965
R. C. Morgan and S. N. Karp, Uniqueness theorem for a surface wave problem in electromagnetic diffraction theory, Comm. Pure Appl. Math. 16, 45–56 (1963); New York Univ., Courant Inst. Math. Sci., Div. of Electromagnetic Res., Res. Rep. No. EM-178, 1962
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, 565–585 (1954)
R. C. Morgan, Pseudo-radiation conditions for derivatives of radiating functions, J. Math. Anal. Appl. 18, No. 3 (1967); New York Univ., Courant Inst. Math. Sci., Div. of Electromagnetic Res., Res. Rep. No. BR-54, 1966
R. C. Morgan, Uniqueness theorem for the reduced wave equation under an Nth order differential boundary condition, Proc. Amer. Math. Soc. 17, 780–787 (1966); New York University, Courant Inst. Math. Sci., Div. of Electromagnetic Res., Res. Rep. No. BR-53, 1966
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Article copyright:
© Copyright 1969
American Mathematical Society
