Determination of a diffusion coefficient in a quasilinear parabolic equation

Open Mathematics

Kanca Fatma¹ 

[1] Department of Management Information Systems, Kadir Has University, 34083, Istanbul, Turkey;

关键词: heat equation;    inverse problem;    nonlocal boundary condition;    integral overdetermination condition;    time-dependent diffusion coefficient;    35k59;    35r30;   

DOI  :  10.1515/math-2017-0003

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown