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

Frederik Broucke (UGent) and Ljubica Oparnica (UGent)
(2022) JOURNAL OF DIFFERENTIAL EQUATIONS. 321. p.217-257
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Abstract
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.
Keywords
Fractional Zener wave equation, Wave front set, Gevrey regularity, Wave speed, Wave packet shape, MODEL

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MLA
Broucke, Frederik, and Ljubica Oparnica. “Micro-Local and Qualitative Analysis of the Fractional Zener Wave Equation.” JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 321, 2022, pp. 217–57, doi:10.1016/j.jde.2022.03.006.
APA
Broucke, F., & Oparnica, L. (2022). Micro-local and qualitative analysis of the fractional Zener wave equation. JOURNAL OF DIFFERENTIAL EQUATIONS, 321, 217–257. https://doi.org/10.1016/j.jde.2022.03.006
Chicago author-date
Broucke, Frederik, and Ljubica Oparnica. 2022. “Micro-Local and Qualitative Analysis of the Fractional Zener Wave Equation.” JOURNAL OF DIFFERENTIAL EQUATIONS 321: 217–57. https://doi.org/10.1016/j.jde.2022.03.006.
Chicago author-date (all authors)
Broucke, Frederik, and Ljubica Oparnica. 2022. “Micro-Local and Qualitative Analysis of the Fractional Zener Wave Equation.” JOURNAL OF DIFFERENTIAL EQUATIONS 321: 217–257. doi:10.1016/j.jde.2022.03.006.
Vancouver
1.
Broucke F, Oparnica L. Micro-local and qualitative analysis of the fractional Zener wave equation. JOURNAL OF DIFFERENTIAL EQUATIONS. 2022;321:217–57.
IEEE
[1]
F. Broucke and L. Oparnica, “Micro-local and qualitative analysis of the fractional Zener wave equation,” JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 321, pp. 217–257, 2022.
@article{8746439,
  abstract     = {{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.}},
  author       = {{Broucke, Frederik and Oparnica, Ljubica}},
  issn         = {{0022-0396}},
  journal      = {{JOURNAL OF DIFFERENTIAL EQUATIONS}},
  keywords     = {{Fractional Zener wave equation,Wave front set,Gevrey regularity,Wave speed,Wave packet shape,MODEL}},
  language     = {{eng}},
  pages        = {{217--257}},
  title        = {{Micro-local and qualitative analysis of the fractional Zener wave equation}},
  url          = {{http://doi.org/10.1016/j.jde.2022.03.006}},
  volume       = {{321}},
  year         = {{2022}},
}
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