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All issues Volume 37 / No 2 (March/April 2003) ESAIM: M2AN, 37 2 (2003) 241-257 References
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Issue
ESAIM: M2AN
Volume 37, Number 2, March/April 2003
Page(s) 241 - 257
DOI https://doi.org/10.1051/m2an:2003033
Published online 15 November 2003
  1. G. Alessandrini, Stability for the crack determination problem, in Inverse problems in Mathematical Physics, L. Päivaärinta and E. Somersalo Eds., Springer-Verlag, Berlin (1993) 1-8. [Google Scholar]
  2. G. Alessandrini, E. Beretta and S. Vessella, Determining linear cracks by boundary measurements: Lipschitz stability. SIAM J. Math. Anal. 27 (1996) 361-375. [CrossRef] [MathSciNet] [Google Scholar]
  3. G. Alessandrini and A. Diaz Valenzuela, Unique determination of multiple cracks by two measurements. SIAM J. Control Optim. 34 (1996) 913-921. [CrossRef] [MathSciNet] [Google Scholar]
  4. G. Alessandrini and A. DiBenedetto, Determining 2-dimensional cracks in 3-dimensional bodies: uniqueness and stability. Indiana Univ. Math. J. 46 (1997) 1-82. [MathSciNet] [Google Scholar]
  5. S. Andrieux and A. Ben Abda, Identification of planar cracks by overdetermined boundary data: inversion formulae. Inverse Problems 12 (1996) 553-563. [Google Scholar]
  6. S. Andrieux, A. Ben Abda and M. Jaoua, On the inverse emerging plane crack problem. Math. Methods Appl. Sci. 21 (1998) 895-907. [CrossRef] [MathSciNet] [Google Scholar]
  7. A. Ben Abda, H. Ben Ameur and M. Jaoua, A semi-explicit algorithm for the reconstruction of 3D planar cracks. Inverse Problems 15 (1999) 67-78. [Google Scholar]
  8. R. Bellout and A. Friedman, Identification problems in potential theory. Arch. Rational Mech. Anal. 101 (1988) 143-160. [MathSciNet] [Google Scholar]
  9. M. Bonnet, Boundary Integral Equation Methods for Solids and Fluids. Wiley, New York (1995). [Google Scholar]
  10. K. Bryan and M. Vogelius, A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements. SIAM J. Math. Anal. 23 (1992) 950-958. [CrossRef] [MathSciNet] [Google Scholar]
  11. M. Dauge, Elliptic boundary value problems in corner domains. Smoothness and asymptotics of solutions. Springer Verlag, Berlin, Lecture Notes in Math. 1341 (1988). [Google Scholar]
  12. C. Dellacherie and P.-A. Meyer, Probabilité et potentiel. Hermann (1975). [Google Scholar]
  13. P. Destuynder and M. Jaoua, Sur une interprétation mathématique de l'intégrale de Rice en théorie de la rupture fragile. Math. Methods Appl. Sci. 3 (1981) 70-87. [CrossRef] [MathSciNet] [Google Scholar]
  14. R. Felfel, Étude de l'identifiabilité et de la stabilité d'une fissure présentant une résistivité de contact. DEA de Mathématiques Appliquées, ENIT, Tunis (1997). [Google Scholar]
  15. A. Friedman and M. Vogelius, Determining cracks by boundary measurements. Indiana Univ. Math. J. 38 (1989) 527-556. [CrossRef] [MathSciNet] [Google Scholar]
  16. P. Grisvard, Elliptic problems in nonsmooth domains. Pitman, Boston (1985). [Google Scholar]
  17. V.G. Maz'ya and B.A. Plamenevsky, On the coefficients in the asymptotics of solutions of elliptic boundary value problems in domains with conical points. Amer. Math. Soc. Transl. Ser. 2 123 (1984) 57-88. [Google Scholar]
  18. F. Murat and J. Simon, Quelques résultats sur le contrôle par un domaine géométrique. Preprint, Université de Paris VI (1974). [Google Scholar]
  19. E.P. Stephan, Boundary integral equations for mixed boundary value problems, screen and transmission problems in Formula . Habilitationsschrift, TH Darmstadt, Germany (1984). [Google Scholar]
  20. E.P. Stephan, Boundary integral equations for screen problems in Formula . Integral Equations Operator Theory 10 (1987) 236-257. [CrossRef] [MathSciNet] [Google Scholar]
  21. V.S. Vladimirov, Equations of Mathematical Physics. Marcel Dekker, New York (1971). [Google Scholar]

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