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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 10
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Original Articles

On the determination of the sound speed and a damping coefficient by two measurements

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Pages 1025-1039 | Received 01 Sep 2004, Published online: 23 Aug 2006

References

  • Bukhgeim AL 2000 Introduction to the Theory of Inverse Problems Utrecht VSP
  • Bukhgeim , AL and Klibanov , MV . 1981 . Global uniqueness of class of multidimensional inverse problems . Soviet Mathematical Doklady , 24 : 244 – 247 .
  • Glushkova DI 2001 A stability estimate of a solution to the inverse problem of determining the absorption coefficient Differential Equations 37 1203 1211 (Russian)
  • Glushkova , DI and Romanov , VG . 2003 . A stability estimate for a solution to the problem of determination of two coefficients of a hyperbolic equation . Siberian Mathematical Journal , 44 : 250 – 259 .
  • Imanuvilov , OYu. and Yamamoto , M . 2001 . Global Lipschitz stability in an inverse hyperbolic problem by interior observations . Inverse Problems , 17 : 717 – 728 .
  • Isakov V 1998 Inverse Problems for Partial Differential Equations Berlin Springer-Verlag
  • Khaĭdarov , A . 1987 . Carleman estimates and inverse problems for second-order hyperbolic equations . Mathematical of the USSR Sbornik , 58 : 267 – 277 .
  • Klibanov , MV . 1992 . Inverse problems and Carleman estimates . Inverse Problems , 8 : 575 – 596 .
  • Klibanov MV Timonov A 2004 Carleman Estimates for Coefficient Inverse Problems and Numerical Applications Utrecht VSP
  • Romanov VG 1987 Inverse Problems of Mathematical Physics Utrecht VNU Science Press
  • Romanov , VG . 1999 . A stability estimate of a solution of the inverse problem of the sound speed determination . Siberian Mathematical Journal , 40 : 1119 – 1133 .
  • Romanov , VG . 2000 . A stability estimate for a problem of determination of coefficients under the first derivatives in the second type hyperbolic equation . Doklady Mathematics , 62 : 459 – 461 .
  • Romanov VG 2002 Investigation Methods for Inverse Problems Utrecht VSP
  • Romanov , VG and Yamamoto , M . 1999 . Multidimensional inverse hyperbolic problem with impulse input and single boundary measurement . Journal of Inverse and Ill-Posed Problems , 7 : 573 – 588 .
  • Romanov , VG and Yamamoto , M . 2004 . On the determination of wave speed and potential in a hyperbolic equation by two measurements . Contemporary Mathematics , 348 : 1 – 10 .

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