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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 6
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Original Articles

Size estimates in thermography

, &
Pages 831-846 | Received 18 Oct 2008, Accepted 01 Apr 2009, Published online: 05 Aug 2009

References

  • Cantel , WJ and Morton , J . 1992 . The significance of damage and defects and their detection in composite materials: A review . J. Strain. Anal. , 27 : 29 – 42 .
  • Patel , PM , Lau , SK and Aldmond , DP . 1992 . A review of image analysis techniques applied in transient tomographic nondestructive testing . Nondestr. Test. Eval. , 6 : 343 – 364 .
  • Alessandrini , G and Isakov , V . 1996 . Analyticity and uniqueness for the inverse conductivity problem . Rend. Istit. Mat. Univ. Trieste , 28 : 351 – 369 .
  • Isakov , V . 2006 . Inverse Problems for Partial Differential Equations, , 2nd , New York : Springer .
  • Friedman , A . 1987 . Detection of mines by electric measurements . SIAM J. Appl. Math. , 47 : 201 – 212 .
  • Bryan , K . 1990 . Single measurement detection of a discontinuous conductivity . Comm. Part. Diff. Eqns , 15 : 503 – 514 .
  • Alessandrini , G and Rosset , E . 1998 . The inverse conductivity problem with one measurement: Bounds on the size of the unknown object . SIAM J. Appl. Math. , 58 : 1060 – 1071 .
  • Kang , H , Seo , JK and Sheen , D . 1997 . The inverse conductivity problem with one measurement: stability and estimation of size . SIAM J. Math. Anal. , 28 : 1389 – 1405 .
  • Alessandrini , G , Rosset , A and Seo , JK . 2000 . Optimal size estimates for the inverse conductivity problem with one measurement . Proc. Am. Math. Soc. , 128 : 53 – 64 .
  • Alessandrini , G , Morassi , A and Rosset , E . 2002) . “ Size estimates ” . In Inverse Problems: Theory and Applications , Pisa : Cortona . Contemporary Mathematics series, Vol. 333, American Mathematical Society, Providence, RI (2003) pp. 1–33
  • Alessandrini , G and Rosset , E . 2004 . Volume bounds of inclusions from physical EIT measurements . Inverse Prob. , 20 : 575 – 588 .
  • Di Cristo , M , Rondi , L and Vessella , S . 2006 . Stability properties of an inverse parabolic problem with unknown boundaries . Ann. Mat. Pura Appl. , 185 : 223 – 255 .
  • Alessandrini , G , Bilotta , A , Formica , G , Morassi , A , Rosset , E and Turco , E . 2007 . Computing volume bounds on inclusions by EIT measurements . J. Sci. Comput. , 33 : 293 – 312 .
  • Hörmander , L . 2007 . “ The analysis of linear partial differential operators. III. Pseudo-differential operators ” . In Classics in Mathematics , Berlin : Springer .
  • Wloka , J . 1987 . Partial Differential Equations , Cambridge : Cambridge University Press .

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