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Recovering of damping coefficients for a system of coupled wave equations with Neumann boundary conditions: Uniqueness and stability

✍ Scribed by Shitao Liu; Roberto Triggiani


Publisher
Coastal and Estuarine Research Federation
Year
2011
Tongue
English
Weight
421 KB
Volume
32
Category
Article
ISSN
1860-6261

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Blow-up analysis for a system of heat eq
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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