An inverse problem for a 2D parabolic equation with nonlocal overdetermination condition

We consider an inverse problem of identifying the time-dependent coefficient $a(t)$ in a two-dimensional parabolic equation: $$u_t=a(t)\Delta u+b_1(x,y,t)u_x+b_2(x,y,t)u_y+c(x,y,t)u+f(x,y,t),$$ $(x,y,t)\in Q_T,$ with the initial condition, Neumann boundary data and the nonlocal overdetermination con...

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Bibliographic Details
Main Author: N.Ye. Kinash
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2016-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1416