• DocumentCode
    327397
  • Title

    Ill-posed inverse problems based on Volterra-type equations

  • Author

    Gaikovich, K.P.

  • Author_Institution
    Radiophys. Res. Inst., Nizhny Novgorod, Russia
  • Volume
    1
  • fYear
    1998
  • fDate
    2-5 Jun 1998
  • Firstpage
    23
  • Abstract
    Inverse problems based on Volterra equations are, as a rule, well-posed. But in the case when a function should be retrieved in the range which is wider than the range where the right side of the equation is given, the solution appears an ill-posed inverse problem. A number of physical examples in electromagnetics is given, and it is shown that such inverse problems could be successfully solved on the basis of Tikhonov´s method of general discrepancy
  • Keywords
    Volterra equations; electromagnetism; inverse problems; Tikhonov´s method of general discrepancy; Volterra-type equations; computational electromagnetics; ill-posed inverse problems; refraction; superconductive films; thermal history; Extraterrestrial measurements; Geometry; Integral equations; Inverse problems; Kernel; Numerical simulation; Radiometry; Refractive index; Remote sensing; Surface resistance;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mathematical Methods in Electromagnetic Theory, 1998. MMET 98. 1998 International Conference on
  • Conference_Location
    Kharkov
  • Print_ISBN
    0-7803-4360-3
  • Type

    conf

  • DOI
    10.1109/MMET.1998.709677
  • Filename
    709677