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Explicit decay bounds in some quasilinear one-dimensional parabolic problems

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


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
92 KB
Volume
22
Category
Article
ISSN
0170-4214

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✦ Synopsis


In the first part of this paper we study a thermal diffusion process described by a semilinear parabolic problem and we introduce a new maximum principle in order to obtain explicit decay bounds for the temperature and its gradient. In the second part we find analogous bounds for the so-called ground water equation in a more general form.