Stable algorithm for identifying a source in the heat equation

We consider an inverse problem for the heat equation $u_{xx}=u_t$ in the quarter plane $\{x>0, t>0\}$ where one wants to determine the temperature $f(t)=u(0,t)$ from the measured data $g(t)=u(1,t)$. This problem is severely ill-posed and has been studied before. It is well known that the...

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Bibliographic Details
Main Authors: Lahcene Chorfi, Leila Alem
Format: Article
Language:English
Published: Texas State University 2015-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/267/abstr.html