@article{8d7fca04f6214202bb0f695472b1afc6,
title = "Decay property for symmetric hyperbolic system with memory-type diffusion",
abstract = "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.",
keywords = "Decay property, Energy method, Memory-type dissipation, Strongly positive definite kernels, Symmetric hyperbolic systems",
author = "Mari Okada and Naofumi Mori and Shuichi Kawashima",
note = "Funding Information: S. Kawashima is partially supported by JSPS KAKENHI Grant Numbers JP18H01131 and JP19H05597 . Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",
year = "2021",
month = mar,
day = "5",
doi = "10.1016/j.jde.2020.12.021",
language = "English",
volume = "276",
pages = "287--317",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
}