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Abstract

This paper is a supplement and partial correction of [2]. Considered is a ball of homogeneous material of radius R>0 which is heated or cooled in such a way that the temperature at an arbitrary point in the ball only depends on its distance r from the center of the ball and the time t≥0.

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References

  1. Parkus, H.: Instationäre Wärmespannungen. Wien 1959.

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  2. Peter, G.: Optimale Anheiz-und Abkühlvorgänge mit der Außenrand-temperatur als Steuergröße. Beiträge zur Analysis 15 (1981), 99–108.

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  3. Psenicnyj, B.N.: Notwendige Optimalitätsbedingungen. Leipzig 1972 (Übersetzung aus dem Russischen).

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  4. Tychonoff, A.N. und Samarksi, A.A.: Differentialgleichungen der mathematischen Physik. Berlin 1959.

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© 1987 Springer Basel AG

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Krabs, W. (1987). On Time-Minimal Heating or Cooling of a Ball. In: Collatz, L., Meinardus, G., Nürnberger, G. (eds) Numerical Methods of Approximation Theory/Numerische Methoden der Approximationstheorie. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 81. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6656-9_11

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  • DOI: https://doi.org/10.1007/978-3-0348-6656-9_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6657-6

  • Online ISBN: 978-3-0348-6656-9

  • eBook Packages: Springer Book Archive

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