We investigate the inverse problem in the heat equation involving the recovery of the initial temperature from measurements of the final temperature. This problem is extremely ill-posed and it is believed that only information in the first few modes can be recovered by classical methods. We will consider this problem with a regularizing parameter which approximates and regularizes the heat conduction model.

Issue Section:
Technical Notes
Keywords:
heat conduction, inverse problems, temperature distribution, temperature measurement, Analytical, Heat Transfer, Inverse, Stability, Temperature
Topics:
Heat, Heat conduction, Inverse problems, Temperature
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