Uniqueness for an inverse problem for a semilinear time-fractional\n diffusion equation

2016/09/13 by Jaan Janno, Janno, Jaan, Kairi Kasemets +1
Mathematics · #35R30 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1609.03693

openalex publication_date 2016/09/13 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

An inverse problem to determine a space-dependent factor in a semilinear\ntime-fractional diffusion equation is considered. Additional data are given in\nthe form of an integral with the Borel measure over the time. Uniqueness of the\nsolution of the inverse problem is studied. The method uses a positivity\nprinciple of the corresponding differential equation that is also proved in the\npaper.\n

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