The unique identification of variable-order fractional wave equations

被引：0
|
作者：
Xiangcheng Zheng
Hong Wang
机构：
[1] Peking University,School of Mathematical Sciences
[2] University of South Carolina,Department of Mathematics
来源：
Zeitschrift für angewandte Mathematik und Physik | 2021年 / 72卷
关键词：
Determination of variable order; Variable-order time-fractional wave partial differential equation; Inverse problem; Uniqueness; Well-posedness; Smoothing properties; 26A33; 35R30; 35L15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We analyze the well-posedness and smoothing properties of a variable-order time-fractional wave partial differential equation in multiple space dimensions. Accordingly, we prove the unique determination of the variable order in this model with the observations of the unknown solutions on an arbitrarily small spatial domain over a sufficiently small time interval. The proved theorem provides a guidance where the measurements should be taken and ensure the unique identification of the variable order.
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