Estimates of the age of a heat distribution

Johan Philip Department of Mathematical Statistics, Royal Institute of Technology

TBD mathscidoc:1701.332284

Arkiv for Matematik, 7, (4), 351-358, 1968.7
The paper deals with the possibility to solve the heat equation backwards in time. More specifically, we treat the following problem. Given the temperature at a finite number of points of a homogeneous bar, how old can the heat distribution be? In the case that the temperature is given at equidistant points x_{1}, the problem is completely solved. In the case of nonequidistant x_{i}we find an upper bound for the age. Such a bound is also obtained when the information about the heat distribution is given by the value of a finite number of linear functionals.
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  title={Estimates of the age of a heat distribution},
  author={Johan Philip},
  booktitle={Arkiv for Matematik},
Johan Philip. Estimates of the age of a heat distribution. 1968. Vol. 7. In Arkiv for Matematik. pp.351-358.
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