4.7 Article

Micro-local and qualitative analysis of the fractional Zener wave equation

Journal

JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 321, Issue -, Pages 217-257

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2022.03.006

Keywords

Fractional Zener wave equation; Wave front set; Gevrey regularity; Wave speed; Wave packet shape

Categories

Funding

  1. Ghent University BOF [01J04017]
  2. FWO Odysseus 1 [G.0H94.18N.]

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This paper focuses on the micro-local and qualitative analysis of the fractional Zener wave equation, including the determination of classical and Gevrey-type wave front sets of the fundamental solution, as well as addressing questions on dispersion, dissipation, wave propagation speed, and wave packet shape.
This paper concerns the micro-local and qualitative analysis of the fractional Zener wave equation. The classical and Gevrey-type wave front sets of the fundamental solution are determined, and questions on dispersion, dissipation, wave propagation speed and wave packet shape are addressed.(c) 2022 Elsevier Inc. All rights reserved.

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