Publication Cover
Applicable Analysis
An International Journal
Volume 67, 1997 - Issue 1-2
92
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Solution of an inverse coefficient problem for an ordinary differential equation

Pages 11-20 | Received 01 Apr 1997, Published online: 02 May 2007

References

  • Adams , R.A. 1975 . “ Sobolev spaces ” . New York : Academic Press .
  • Cannon , J.R. and DuChateau , P. 1973 . Determining unknown coefficients in a nonlinear heat conduction problem . SIAM J. Appl. Math , 24 : 298 – 314 .
  • 1974 . Determination of the conductivity of an isotropic medium . J. Math. Anal. Appl , 48 : 699 – 707 .
  • 1980 . An inverse problem for a nonlinear diffusion equation . SIAM J. Appl. Math , 39 : 272 – 289 .
  • 1987 . An inverse problem for an elliptic partial differential equation . J. Math. Anal. Appl , 126 : 329 – 340 .
  • Gelfand , I.M. and Levitan , B.M. 1995 . On the determination of a differential equation from its spectrum . Trans. Amer. Math. Soc , 1 : 253 – 304 .
  • Hasanov , A. 1995 . An inverse problem for an elastoplastic medium . SIAM J. Appl. Math , 55 : 1736 – 1752 .
  • Hochstedt , H. 1973 . The inverse sturm-liouville problem . Comm. Pure Appl. Math , 26 : 715 – 729 .
  • Kohn , R. and Vogelius , M. 1985 . Determining conductivity by boundary measurements ii. interior results . Comm. Pure Appl. Math , 38 : 644 – 667 .
  • Lusternik , L.A. and Sobolev , V.I. 1965 . Elements of functional analysis . Nauka ,
  • Sylvester , J. and Uhlmann , G. 1986 . A uniqueness theorem for an inverse boundary value problem in electrical prospection . Comm. Pure Appl. Math , 39 : 92 – 112 .
  • Sylvester , J. and Uhlmann , G. 1987 . A global uniqueness theorem for an inverse boundary value problem . Anal. Math , 125 : 153 – 169 .
  • Sylvester , J. and Uhlmann , G. 1988 . Inverse boundary value problems at the boundary — continuous dependence . Comm. Pure. Appl. Math , 41 : 197 – 219 .
  • Tikhonov , A. N. and Arsenin , V. Y. 1977 . “ Solution of ill-posed problems ” . New York : John Wilcy .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.