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Online ISSN 1552-4485; Print ISSN 0033-569X
On the displacement boundary-value problem of linear elastodynamics
Authors:
M. Hayes and R. J. Knops
Journal:
Quart. Appl. Math. 26 (1968), 291-293
DOI:
https://doi.org/10.1090/qam/99851
MathSciNet review:
QAM99851
Full-text PDF Free Access
References | Additional Information
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F. Neumann, Vorlesungen über die Theorie der Elasticität der festen Körper und des Lichtäthers B. G. Teubner, Leipzig, 1885
- M. E. Gurtin and Eli Sternberg, A note on uniqueness in classical elastodynamics, Quart. Appl. Math. 19 (1961/62), 169–171. MR 129226, DOI https://doi.org/10.1090/S0033-569X-1961-0129226-5
- M. E. Gurtin and R. A. Toupin, A uniqueness theorem for the displacement boundary-value problem of linear elastodynamics, Quart. Appl. Math. 23 (1965), 79–81. MR 177557, DOI https://doi.org/10.1090/S0033-569X-1965-0177557-X C. B. Morrey, Jr., Contributions to the theory of partial differential equations, Ann. of Math. Studies, Vol. 33, Princeton, 1954, p. 101
- Sam Perlis, Theory of matrices, Addison-Wesley Press, Inc., Cambridge, Mass., 1952. MR 0048384
- Fritz John, Plane waves and spherical means applied to partial differential equations, Interscience Publishers, New York-London, 1955. MR 0075429 F. John, Partial differential equations (mimeographed lecture notes), N. Y. U., 1952
- J. L. Ericksen, Non-existence theorems in linear elasticity theory, Arch. Rational Mech. Anal. 14 (1963), 180–183. MR 156500, DOI https://doi.org/10.1007/BF00250700
- J. L. Ericksen, Non-uniqueness and non-existence in linearized elasticity theory, Contributions to Differential Equations 3 (1964), 295–300. MR 164491 J. L. Ericksen, Non-existence theorems in linearised elastostatics, J. Diff. Eqns. 1, 446 (1965)
Additional Information
Article copyright:
© Copyright 1968
American Mathematical Society