Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems
Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems
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DOI：
10.1002/mma.679
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发表时间：
2006-02
影响因子：
2.9
通讯作者：
G. Philippin;V. Proytcheva
中科院分区：
文献类型：
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作者：
G. Philippin;V. Proytcheva
本文研究一类半线性抛物问题。我们建立了强迫解在有限时刻τ爆破的充分条件，并得到了τ的上界。此外，我们表明，如果问题以某种方式修改，解决方案随时间呈指数衰减，并连续依赖于数据。版权所有© 2005年约翰威利父子有限公司。
This paper deals with a class of semilinear parabolic problems. We establish sufficient conditions on the data forcing the solution to blow up at finite time τ and derive an upper bound for τ. Moreover, we show that if the problem is modified in some way, the solution decays exponentially in time and depends continuously on the data. Copyright © 2005 John Wiley & Sons, Ltd.