Uniqueness of the inverse reaction coefficient problems for nonlocal diffusion models

2018/12/03 by Guang-Hui Zheng, Minghui Ding, Zheng, Guang-Hui +1
Mathematics · #Numerical methods in inverse problems #Nonlinear Partial Differential Equations #Fractional Differential Equations Solutions

paper · pdf · doi:10.48550/arxiv.1812.00673

Abstract

In this paper, we consider the inverse reaction coefficient problems (IRCPs) for nonlocal diffusion equation and multi-term time-fractional nonlocal diffusion equation from the average nonlocal flux data in external reaction region. Based on the nonlocal maximum principle we established, the uniqueness theorem for IRCPs are proved.

Citations

• Reformulation of elasticity theory for discontinuities and long-range forces
• Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

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