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Kato, T. (1975) The Cauchy Problem for Quasi-Linear Symmetric Hyperbolic Systems. Archive for Rational Mechanics and Analysis, 58, 181-205.
https://doi.org/10.1007/bf00280740

has been cited by the following article:

• TITLE: Global Existence of Solutions to the Timoshenko-Fourier System in Critical Besov Spaces

  AUTHORS: Hongmei Cao, Xin'ai Fu

  KEYWORDS: Timoshenko-Fourier System, Regularity-Loss, Critical Besov Spaces

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.9, September 23, 2025

  ABSTRACT: In this work, we are concerned with the Timoshenko-Fourier system in both equal and non-equal wave speeds, which admits a non-symmetric dissipation. Furthermore, the dissipative mechanism of regularity-loss type will occur in the case of non-equal wave speeds. We establish the global-in-time existence of solutions to the Timoshenko-Fourier system in critical Besov spaces with the regularity s= 3 2 .