Determination of a diffusion coefficient in a quasilinear parabolic equation

Autor: Kanca Fatma
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Open Mathematics, Vol 15, Iss 1, Pp 77-91 (2017)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2017-0003
Popis: 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.
Databáze: Directory of Open Access Journals