Decay property for symmetric hyperbolic system with memory-type diffusion

Mari Okada, Naofumi Mori, Shuichi Kawashima

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)287-317
Number of pages31
JournalJournal of Differential Equations
Volume276
DOIs
Publication statusPublished - 2021 Mar 5

Keywords

  • Decay property
  • Energy method
  • Memory-type dissipation
  • Strongly positive definite kernels
  • Symmetric hyperbolic systems

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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