具有局部阻尼的半线性分布系统的指数衰减

Proceedings of the 28th IEEE Conference on Decision and Control, Pub Date : 1989-12-13 DOI:10.1109/CDC.1989.70582

E. Zuazua

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引用次数: 0

摘要

作者展示了如何结合乘法器技术和唯一延拓原理来证明具有局部阻尼的各种半线性演化方程的解的指数衰减结果(即仅在方程成立的区域的子区域上有效的阻尼项)。有界域和无界域都被考虑。

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Exponential decay for semilinear distributed systems with localized damping

The author shows how multiplier techniques and unique continuation principles can be combined to prove exponential decay results for solutions of various semilinear evolution equations with a localized damping (i.e. a damping term that is effective only on a subregion of the domain where the equation holds). Both bounded and unbounded domains are considered.<>

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Proceedings of the 28th IEEE Conference on Decision and Control,

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