Some properties of solutions of initial-value problems associated with the wave equation
Author:
LL. G. Chambers
Journal:
Quart. Appl. Math. 28 (1970), 391-398
DOI:
https://doi.org/10.1090/qam/99784
MathSciNet review:
QAM99784
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Abstract |
References |
Additional Information
Abstract: A variational principle and a reciprocity relation are obtained for initial value problems associated with the wave equation.
- Morton E. Gurtin, Variational principle for the time-dependent Schrödinger equation, J. Mathematical Phys. 6 (1965), 1506–1507. MR 182314, DOI https://doi.org/10.1063/1.1704687
M. E. Gurtin, Variational principles for linear initial value problems, Quart. Appl. Math. 22, 252–256 (1964)
- L. Aĭnola, The variation principle for the Schrödinger equation, Eesti NSV Tead. Akad. Toimetised Füüs.-Mat. 16 (1967), 139–142 (Russian, with Estonian and English summaries). MR 0218769
- D. S. Jones, Generalised functions, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0217534
- D. S. Jones, The theory of electromagnetism, International Series of Monographs on Pure and Applied Mathematics, Vol. 47, The Macmillan Co., New York, 1964. A Pergamon Press Book. MR 0161555
M. E. Gurtin, Variational principle for the time-dependent Schrödinger equation, J. Mathematical Phys. 6, 1506–1507 (1965)
M. E. Gurtin, Variational principles for linear initial value problems, Quart. Appl. Math. 22, 252–256 (1964)
L. Ainola, The variation principle for the Schrödinger equation, Eesti NSV Tead. Akad. Toimetised Füüs-Mat. 16, 139–142 (1967)
D. S. Jones, Generalized functions, McGraw-Hill, New York, 1966, p. 156
D. S. Jones, The theory of electromagnetism, Pergamon Press, New York, 1964, pp. 672–676
Additional Information
Article copyright:
© Copyright 1970
American Mathematical Society
