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

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An inverse coefficient problem for a parabolic.pdf (173.5Kb)
Date
2015
Author
Bağlan, İrem Sakınç
Kanca, Fatma
Abstract
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.

Source

Mathematical Methods in The Applied Sciences

Issue

5

Volume

38

Pages

851-867

URI

https://hdl.handle.net/20.500.12469/606
https://dx.doi.org/10.1002/mma.3112

Collections

  • Araştırma Çıktıları / Scopus [1482]
  • Araştırma Çıktıları / WOS [1412]
  • Yönetim Bilişim Sistemleri / Management Information Systems [141]

Keywords

Quasilinear parabolic equation
Inverse problem
Periodic boundary conditions
Finite difference method
Integral overdetermination condition

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