An inverse problem for a dissipative hyperbolic equation with discontinuous coefficients
Author:
Robert J. Krueger
Journal:
Quart. Appl. Math. 34 (1976), 129-147
MSC:
Primary 35R30; Secondary 35L10
DOI:
https://doi.org/10.1090/qam/481676
MathSciNet review:
481676
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- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
D. S. Heim and C. B. Sharpe, The synthesis of nonuniform lines of finite length—part I, IEEE Trans. Circuit Theory 15, 394–403 (1967)
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R. Courant and D. Hilbert, Methods of mathematical physics, vol. I & II, Interscience, New York, 1953, 1962
D. S. Heim and C. B. Sharpe, The synthesis of nonuniform lines of finite length—part I, IEEE Trans. Circuit Theory 15, 394–403 (1967)
I. Kay, The inverse problem when the reflection coefficient is a rational function, Comm. Pure and Appl. Math. 13, 371–393 (1960)
I. Kay, The inverse scattering problem for transmission lines (in L. Colin, ed., Mathematics of profile inversion, NASA TM X-62, 150 (1972))
I. Kay and H. E. Moses, The determination of the scattering potential from the spectral measure function, III, Nuovo Cimento 3, 276–304 (1956)
I. Kay and H. E. Moses, The determination of the scattering potential from the spectral measure function, IV, Nuovo Cimento Suppl. 5, 230–243 (1957)
H. E. Moses and C. M. deRidder, Properties of dielectrics from reflection coefficients in one dimension, MIT Lincoln Lab. Tech. Rep. 322 (1963)
C. B. Sharpe, The synthesis of infinite lines, Quart. Appl. Math. 21, 105–120 (1963)
V. H. Weston, On the inverse problem for a hyperbolic dispersive partial differential equation, J. Math. Phys. 13, 1952–1956 (1972)
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Article copyright:
© Copyright 1976
American Mathematical Society
