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