An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition


BAĞLAN İ. , Kanca F.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.38, ss.851-867, 2015 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 38 Konu: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1002/mma.3112
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayısı: ss.851-867

Özet

In this paper, the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution periodic boundary and integral overdetermination conditions is considered. Under some natural regularity and consistency conditions on the input data, the existence, uniqueness, and continuous dependence upon the data of the solution are shown. Some considerations on the numerical solution for this inverse problem are presented with an example. Copyright (c) 2014 John Wiley & Sons, Ltd.