In this paper we consider two different initial-boundary value problems in generalized heat conduction. We first establish continuous dependence on the initial-time geometry in an exterior region for solutions of one well studied model system. We then derive inequalities which imply continuous depen
✦ LIBER ✦
Phragmén-Lindelöf and continuous dependence type results in generalized heat conduction
✍ Scribed by L. E. Payne; J. C. Song
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 443 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0044-2275
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## 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 obt
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