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Determination of a diffusion coefficient in a quasilinear parabolic equation

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Date
2017
Author
Kanca, Fatma
Abstract
This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence uniqueness and continuously dependence upon the data of the solution are shown. Finally some numerical experiments are presented.

Source

Open Mathematics

Volume

15

Pages

77-91

URI

https://hdl.handle.net/20.500.12469/367
https://doi.org/10.1515/math-2017-0003

Collections

  • Araştırma Çıktıları / Scopus [1482]
  • Araştırma Çıktıları / WOS [1407]
  • Yönetim Bilişim Sistemleri / Management Information Systems [141]

Keywords

Heat equation
Inverse problem
Nonlocal boundary condition
Integral overdetermination condition
Time-dependent diffusion coefficient

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