Decay property for symmetric hyperbolic system with memory-type diffusion
Decay property for symmetric hyperbolic system with memory-type diffusion
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DOI：
10.1016/j.jde.2020.12.021
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发表时间：
2021-03
影响因子：
2.4
通讯作者：
Mari Okada;N. Mori;S. Kawashima
中科院分区：
文献类型：
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作者：
Mari Okada;N. Mori;S. Kawashima
研究了具有记忆型扩散的对称双曲组的衰减性。在结构条件(称为工艺条件)下，证明了系统是一致耗散的，并且解满足相应的衰减性。我们的证明是基于傅里叶空间中的一种技术能量方法，它利用了强正定核的性质。
We study the decay property for symmetric hyperbolic systems with memory-type diffusion. Under the structural condition (called Craftsmanship condition) we prove that the system is uniformly dissipative and the solutions satisfy the corresponding decay property. Our proof is based on a technical energy method in the Fourier space which makes use of the properties of strongly positive definite kernels.