Microlocal analysis of fractional wave equations

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• 作者：Gü ; nther Hö ; rmann ; Ljubica Oparnica and Dušan Zorica
• 刊名：ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：97
• 期：2
• 页码：217-225
• 全文大小：217K
• ISSN：1521-4001

文摘

We determine the wave front sets of solutions to two special cases of the Cauchy problem for the space-time fractional Zener wave equation, one being fractional in space, the other being fractional in time. For the case of the space fractional wave equation, we show that no spatial propagation of singularities occurs. For the time fractional Zener wave equation, we show an analogue of non-characteristic regularity.