Unique Determination Of Fractional Order And Source Term In A Fractional Diffusion Equation From Sparse Boundary Data
INVERSE PROBLEMS(2020)
摘要
In this article, for a two dimensional fractional diffusion equation, we study an inverse problem for simultaneous restoration of the fractional order and the source term from the sparse boundary measurements. By using a sequence of harmonic functions, we construct useful quantitative relation between the unknowns and measurements. From Laplace transform and the knowledge in complex analysis, the uniqueness theorem is proved.
更多查看译文
关键词
fractional diffusion equation, inverse problem, nonlinearity, sparse measurements, uniqueness, multiple unknowns
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要