Free access
Issue
ESAIM: M2AN
Volume 35, Number 5, September-October 2001
Page(s) 849 - 863
DOI http://dx.doi.org/10.1051/m2an:2001138
Published online 15 April 2002
  1. A. Bamberger, Y. Dermenjian and P. Joly, Mathematical analysis of the propagation of elastic guided waves in heterogeneous media. J. Differential Equations 88 (1990) 113-154. [CrossRef] [MathSciNet]
  2. A. Bamberger, P. Joly and M. Kern, Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section. RAIRO Modél. Math. Anal. Numér. 25 (1991) 1-30. [MathSciNet]
  3. M. Bouchon and D.P. Schmitt, Full-wave acoustic logging in an irregular borehole. Geophysics 54 (1989) 758-765. [CrossRef]
  4. L. Chorfi, Étude mathématique des modes guidés dans un milieu élastique à symétrie de révolution. RAIRO Modél. Math. Anal. Numér. 30 (1996) 299-342. [MathSciNet]
  5. D.J. Duterte, A.S. Bonnet-Ben Dhia and P. Joly, Mathematical analysis of elastic surface waves in topographic waveguides. M 3AS (Math. Models Methods Appl. Sci.) 9 (1999) 755-798.
  6. G. Duvaut, Mécanique des milieux continus. Masson, Paris (1990).
  7. T. Kato, Perturbation Theory for Linear Operators. 2nd edn., Springer-Verlag, New York (1976).
  8. J. Miklowitz, The Theory of Elastic Waves and Wave Guides. North-Holland Publishing Company, Amsterdam, New York, Oxford (1980).
  9. J.A. Nitsche, On Korn's second inequality. RAIRO Anal. Numér. 15 (1981) 237-248. [MathSciNet]
  10. B. Nkemzi and B. Heinrish, Partial Fourier approximation of the Lamé equation in axisymmetric domains. Math. Methods Appl. Sci. 22 (1999) 1017-1041. [CrossRef] [MathSciNet]
  11. M. Reed and B. Simon, Methods of Modern Mathematical Physics. IV Analysis of Operators. Academic Press, New York, San Francisco, London (1978).
  12. M. Schechter, Operator Methods in Quantum Mechanics. North-Holland Publishing Company, Amsterdam, New York, Oxford (1981).
  13. G. A. Winbow, Seismic sources in open cased boreholes. Geophysics 56 (1991) 1040-1050. [CrossRef]

Recommended for you