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Zeitschrift für Analysis und ihre Anwendungen


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Volume 2, Issue 1, 1983, pp. 51–55
DOI: 10.4171/ZAA/48

Published online: 1983-02-28

Existent einer schwachen Lösung eines eñtarteten parabolischen Rand-Anfangswertproblems zwischen schwachen Ober- und Unterlösungen

Dieter Sosna[1]

(1) Universität Leipzig, Germany

Considering a degenerate parabolic initial-boundary-value-problem on a bounded domain which has smooth weak upper and lower solutions we proof the existence of a weak solution, being between upper and lower solutions almost everywhere.

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Sosna Dieter: Existent einer schwachen Lösung eines eñtarteten parabolischen Rand-Anfangswertproblems zwischen schwachen Ober- und Unterlösungen. Z. Anal. Anwend. 2 (1983), 51-55. doi: 10.4171/ZAA/48