Decay property for symmetric hyperbolic system with memory-type diffusion

Mari Okada, Naofumi Mori, Shuichi Kawashima

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)287-317
ページ数31
ジャーナルJournal of Differential Equations
276
DOI
出版ステータスPublished - 2021 3 5

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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