POLYNOMIAL DECAY TO A CLASS OF ABSTRACT COUPLED SYSTEMS WITH PAST HISTORY

L.P.V. Matos; D.S.A. Junior; M.L. Santos

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POLYNOMIAL DECAY TO A CLASS OF ABSTRACT COUPLED SYSTEMS WITH PAST HISTORY

机译：一类具有过去历史的抽象耦合系统的多项式衰减

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We consider a class of coupled systems with past history acting only in one equation. We show in the abstract setting that the dissipation given by the history term is not strong enough to produce exponential stability. We show that the solution decays polynomially to zero, with rates that can be improved depending on the regularity of the initial data. Some examples are given.

机译：我们考虑一类具有过去历史的耦合系统，它们仅在一个方程中起作用。我们在抽象的环境中表明，历史项给出的耗散不足以产生指数稳定性。我们表明，解的多项式衰减为零，其速率可以根据初始数据的规律性而提高。给出了一些例子。

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《Differential and integral equations》 |2012年第12期|共16页
作者
L.P.V. Matos; D.S.A. Junior; M.L. Santos;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
POLYNOMIAL DECAY; COUPLED SYSTEMS; PAST HISTORY;

机译：多项式衰变;耦合系统;过去的历史;

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1. POLYNOMIAL DECAY TO A CLASS OF ABSTRACT COUPLED SYSTEMS WITH PAST HISTORY [J] . L.P.V. Matos, D.S.A. Junior, M.L. Santos Differential and integral equations . 2012,第11a12期

机译：一类具有过去历史的抽象耦合系统的多项式衰减
2. Polynomial decay for a hyperbolic-parabolic coupled system [J] . Rauch J, Zhang X, Zuazua E Journal de Mathematiques Pures et Appliquees . 2005,第4期

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POLYNOMIAL DECAY TO A CLASS OF ABSTRACT COUPLED SYSTEMS WITH PAST HISTORY

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