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- Title
Decay property for symmetric hyperbolic system with memory-type relaxation.
- Authors
Mori, Naofumi; Okada, Mari; Kawashima, Shuichi
- Abstract
We consider the decay property for a symmetric hyperbolic system with memory-type relaxation. We assume that the memory kernel is a strongly positive definite kernel and prove that the system has the decay property of regularity-loss type. Our proof is based on a technical energy method in the Fourier space which makes use of the structural condition (called Craftsmanship condition or Condition (K)) and the modified properties of strongly positive definite kernels.
- Subjects
SEPARATION of variables; WORKMANSHIP
- Publication
Analysis & Applications, 2024, Vol 22, Issue 4, p725
- ISSN
0219-5305
- Publication type
Article
- DOI
10.1142/S0219530523500367