59
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Identification of memory kernels in one-dimensional heat flow with boundary conditions of the third kind

&
Pages 175-198 | Published online: 24 Oct 2007

References

  • Colombo , F. and Lorenzi , A. 1997 . Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains I . J. Math. Anal. Appl. , 213 : 32 – 62 .
  • Colombo , F. and Lorenzi , A. 1997 . Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains II . J. Math. Anal. Appl. , 213 : 63 – 90 .
  • Doetsch , G. 1958 . Einführung in Theorie und Anwendung der Laplace-Transformation , Basel : Birkhäuser .
  • Grasselli , M. 1992 . An identification problem for a linear integro-differential equation occuring in heat flow . Math. Meth. Appl. Sci. , 15 : 167 – 186 .
  • Guenther , R. B. and Lee , J. W. 1988 . Partial Differential Equations of Mathematical Physics and Integral Equations , Englewood Cliffs, New Jersey : Prentice-Hall .
  • Janno , J. and Wolfersdorf , L. v. 1996 . Inverse problems for identification of memory kernels in heat flow . J. Inv. Ill-Posed Probl. , 4 : 39 – 66 .
  • Janno , J. and Wolfersdorf , L. v. 1997 . Identification of weakly singular memory kernels in heat conduction . J. Appl. Math. Mech. , 77 : 243 – 257 .
  • Janno , J. and Wolfersdorf , L. v. 1998 . Identification of memory kernels in general linear heat flow . J. Inv. Ill-Posed Problems , 6 : 141 – 164 .
  • Janno , J. and Wolfersdorf , L. v. 1999 . An inverse problem for identification of a time- and space-dependent memory kernel of a special kind in heat conduction . Inverse Problems , 15 : 1455 – 1467 .
  • Janno , J. and Wolfersdorf , L. v. 2000 . Inverse problems for memory kernels by Laplace transform methods . J. Anal. Appl. , 19 : 489 – 510 .
  • Janno , J. and Wolfersdorf , L. v. Identification of a special class of memory kernels in one-dimensional heat flow . J. Inv. Ill-Posed Problems , submitted
  • Joseph , D. D. and Preziosi , L. 1989 . Heat waves . Reviews of Modern Physics , 61 : 41 – 73 . Addendum, 62, 375–391 1990
  • Lorenzi , A. 1992 . “ Identification problems for integrodifferential equations ” . In Ill-Posed Problems in Natural Sciences , Edited by: Tikhonov , A. 342 – 366 . Moscow : TVP Sci. Publ. .
  • Lorenzi , A. and Sinestrari , E. 1998 . An inverse problem in the theory of materials with memory . Nonlin. Anal., Theory, Meth. and Appl. , 12 : 1317 – 1335 .
  • Petrowski , I. G. 1955 . Vorlesungen über partielle Differentialgleichungen , Leipzig : Teubner .
  • Wolfersdorf , L. v. 1996 . Inverse problems for memory kernels in heat flow and viscoelasticity . J. Inv. Ill-Posed Problems , 4 : 341 – 354 .

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.