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Zeitschrift für Analysis und ihre Anwendungen

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Volume 7, Issue 6, 1988, pp. 503–510
DOI: 10.4171/ZAA/325

Published online: 1988-12-31

Inverse Probleme für die Wärmeleitungsgleichung

Sybille Handrock-Meyer[1]

(1) Technische Universität Chemnitz, Germany

A summary is given of the results obtained in the past years for the unique determination of the heat conductivity in the heat equation where the cases of a constant, a space dependent, a time dependent heat conductivity and the quasilinear case, i.e. the heat conductivity is a function of the temperature are considered. Moreover a simple proof is given for the validity of the maximum principle in the quasilinear case.

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Handrock-Meyer Sybille: Inverse Probleme für die Wärmeleitungsgleichung. Z. Anal. Anwend. 7 (1988), 503-510. doi: 10.4171/ZAA/325