Recovering the surface temperature history of a two-layer composite body

Abstract

We consider the problem of recovering the surface temperature history of a two-layer composite body from interior measurements. The problem is ill-posed. We shall use the Fourier transform and the method of truncated integration to regularize the problem. Error estimate is given.

Keywords:

• Ill-posed problems
• Heat equations
• Fourier transform
• Truncated integration
• Mathematics Subject Classifications 2000: 35K05
• 35C15
• 35R25
• 44A35

Acknowledgment

This work was supported by the Council for Natural Sciences of Vietnam.