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Continuous dependence results for a class of nonlinear heat equations in a cylindrical region

✍ Scribed by G. A. Philippin; V. Proytcheva; S. Vernier-Piro

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 134 KB
Volume: 32
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1040

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✦ Synopsis

Abstract

In this paper, we derive bounds for the solutions of a quasilinear heat equation in a finite cylindrical region if the far end and the lateral surface are held at zero temperature, and a nonzero temperature is applied at the near end. Some continuous dependence inequalities are also obtained. We also investigate the case in which a given heat flux is prescribed at the near end, instead of a given temperature. Copyright © 2008 John Wiley & Sons, Ltd.

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