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Optimal classification for blow-up phenomena in heat equations coupled via exponential sources

✍ Scribed by Bingchen Liu; Fengjie Li

Book ID
108216200
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
503 KB
Volume
71
Category
Article
ISSN
0362-546X

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## Abstract In this paper, we study a system of heat equations $u\_t=\Delta u, \, v\_t=\Delta v\,{\rm in}\,\Omega\times(0,T)$ coupled __via__ nonlinear boundary conditions Here __p__, __q__>0. We prove that the solutions always blow up in finite time for non‐trivial and non‐negative initial value