Free Access
Issue
ESAIM: M2AN
Volume 25, Number 1, 1991
Page(s) 1 - 30
DOI https://doi.org/10.1051/m2an/1991250100011
Published online 31 January 2017
  1. M. ABRAMOWITZ, I. STEGUN, Handbook of mathematical functions Dover publications (1968)
  2. A. R. ADAMS, Sobolev spaces Academic Press (1975) [MR: 450957] [Zbl: 0314.46030]
  3. A. BAMBERGER, A. S. BONNET, Calcul des modes guidés d'une fibre optique Analyse numérique Report n° 143, CMAP, Ecole Polytechnique (1986)
  4. A. BAMBERGER, Y. DERMENJIAN, P. JOLY, « Mathematical Analysis of the Propagation of Elastic Guided Waves in Heterogeneous Media », INRIA Report n° 1013 (1989) to appear in Journal of Differential Equations (1990) [MR: 1079862] [Zbl: 0714.35045]
  5. A. BAMBERGER, P. JOLY, M. KERN, Etude mathématique des modes élastiques guidés par l'extérieur d'une cavité cylindrique de section arbitraire Report n° 650, INRIA (1987) [Zbl: 0617.73029]
  6. A. BAMBERGER, P. JOLY, M. KERN, Propagation d'ondes élastiques guidées par la surface d'une cavité cylindrique de section arbitraire CRAS, Paris, série I, t 504, n° 3, pp 59-62 (1987) [MR: 878826] [Zbl: 0617.73029]
  7. M. BIOT, Propagation of elastic waves in a liquid filled cylindrical bore surrounded by an elastic solid J Appl Physics, 24, pp 515-521 (1953) [MR: 55893] [Zbl: 0053.31804]
  8. A. BOSTROM, A. D. BURDEN, Propagation of elastic surface waves and their excitation by a point force J Acoust Soc Amer, 72, pp 998-1004 (1982)
  9. A. D. BURDEN, The propagation of elastic surface waves along cylindrical cavities of general cross section Wave Motion, 7, pp 153-168 (1985) [Zbl: 0553.73015]
  10. R. COURANT, D. HILBERT, Methods of Mathematical Physics. Vol. I, Wiley (1962). [MR: 1013360] [Zbl: 0729.00007]
  11. Y. DERMENJIAN, J. C. GUILLOT, Scattering of elastic waves in a perturbed isotropic half-space with a free boundary. The limiting absorption principle. Report n° 491, INRIA (1986). [Zbl: 0647.73011]
  12. N. DUNFORD, J. T. SCHWARTZ, Linear operators. Vol. II, Wiley (1963).
  13. P. JOLY, Analyse numérique des ondes de Rayleigh. 3rd cycle Thesis, University Paris IX (1983).
  14. P. E. LAGASSE, Higher order finite element analysis of topographic guides supporting elastic surface waves. J. Acoust. Soc. Amer., 53, pp. 1116-1122 (1973).
  15. P. E. LAGASSE, I. M. MASON, E. A. ASH, Acoustic surface wave guides. Analysis and assessment. IEEE Trans. Microwave Theory Tech. 21, pp. 225-236 (1973).
  16. D. MARCUSE, Theory of dielectric optical waveguides. Academic Press (1974).
  17. J. MIKLOWITZ, The theory of elastic waves and waveguides. North-Holland (1980). [MR: 515886] [Zbl: 0565.73025]
  18. I. A. MINDLIN, Free elastic waves on the surface of a tube of infinite thickness. J. Appl. Math. Mech., 27, pp. 823-828 (1963). [Zbl: 0127.41502]
  19. J. A. MORRISON, Propagation of high frequency surface waves along cylinders of general cross section. J. Math. Phys., 16, pp. 1786-1794 (1975). [MR: 381436] [Zbl: 0309.73025]
  20. J. A. NITSCHE, On Korn's second inequality. RAIRO Analyse Numérique, 15, pp. 237-248 (1981). [EuDML: 193380] [MR: 631678] [Zbl: 0467.35019]
  21. Lord RAYLEIGH, On waves propagating along the plane surface of an elastic solid. Proc. London Math. Soc., 17, p. 411 (1885). [JFM: 17.0962.01]
  22. M. REED, B. SIMON, Methods of modern mathematical physics. Academic Press (1981). [Zbl: 0459.46001]
  23. F. RELLICH, Uber das asymptotiche Verhalten der Lösungen von Δu + ku = 0 in unendlichen Gebieten. Jber. Deutsche Math. Verein., 53, pp. 57-64 (1943). [EuDML: 146328] [MR: 17816] [Zbl: 0028.16401]
  24. F. SANTOSA, On the solution of elastodynamics problems for infinite cylinders. Report ONR/SRO, Cornell University (1986).
  25. M. SCHECHTER, Operator methods in quantum mechanics. North Holland (1981). [MR: 597895] [Zbl: 0456.47012]
  26. SCHULENBERGER, Elastic waves in the half-space R2+. J. Diff. Eq., 29, pp. 405-438 (1978). [MR: 507488] [Zbl: 0404.35066]
  27. J. WEIDMAN, Linear operators in Hilbert Spaces. Springer (1981). [Zbl: 0434.47001]
  28. C. H. WILCOX, Scattering theory for the d'Alembert equation in unbounded domains. Lecture Notes in Mathematics No. 442, Springer (1975). [MR: 460927] [Zbl: 0299.35002]
  29. L. O. WILSON, J. A. MORRISON, Propagation of high frequency elastic surface waves along cylinders of general cross section. J. Math. Phys., 16, pp. 1795-1805 (1975). [MR: 381437] [Zbl: 0313.73020]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you