A nonhomogeneous backward heat problem: Regularization and error estimates
We consider the problem of finding the initial temperature, from the final temperature, in the nonhomogeneous heat equation $$displaylines{ u_t-u_{xx}= f(x,t),quad (x,t)in (0,pi)imes (0,T),\ u(0,t)= u(pi,t)= 0, quad (x,t) in (0,pi)imes(0,T). }$$ This problem is known as the backward heat prob...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2008-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/33/abstr.html |