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Original Articles

Simultaneous determination of unknown coefficients in a parabolic equation

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Pages 1167-1177 | Received 16 Nov 2007, Accepted 30 Mar 2008, Published online: 21 Jul 2010

References

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  • Lin , Y . 1991 . An inverse problem for a class of quasilinear parabolic equations . SIAM J. Math. Anal. , 22 : 146 – 156 .
  • Fatullayev , AG . 2005 . Numerical procedure for the simultaneous determination of unknown coefficients in a parabolic equation . Appl. Math. Comput. , 162 : 1367 – 1375 .
  • Cannon , JR , DuChateau , P and Steube , K . 1990 . “ Unknown ingredient inverse problems and trace-type functional differential equations ” . In Inverse Problems in Partial Differential Equations , Edited by: Colton , D , Ewing , R and Rundell , W . 187 – 202 . Philadelphia : SIAM .
  • Cannon , JR , Lin , Y and Xu , S . 1994 . Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations . Inverse Probl. , 10 : 227 – 243 .
  • Cannon , JR and Lin , Y . 1998 . Determination of a parameter q(t) in some quasi-linear parabolic differential equations . Inverse Probl. , 4 : 35 – 45 .
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  • Tikhonov , AN and Arsenin , VY . 1977 . Solutions of Ill-Posed Problems , Washington : Winston and Sons .

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