Determination of a diffusion coefficient in a quasilinear parabolic equation

• Autorzy: Fatma Kanca
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 35K59: Quasilinear parabolic equations
• 35R30: Inverse problems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 77-91

Daty

wydano

2017-01-01

otrzymano

2016-08-02

zaakceptowano

2016-10-21

online

2017-02-13

Twórcy

autor

Fatma Kanca

• Department of Management Information Systems, Kadir Has University, 34083, Istanbul,

Identyfikatory

DOI

10.1515/math-2017-0003