Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach
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Publication:5005977
DOI10.1137/21M1397295zbMath1470.35433arXiv2102.03041MaRDI QIDQ5005977
Bangti Jin, Zhi Zhou, Yavar Kian
Publication date: 12 August 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.03041
Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)
Related Items (8)
Theoretical and numerical studies of inverse source problem for the linear parabolic equation with sparse boundary measurements ⋮ Discretised general fractional derivative ⋮ A nonstationary iterated quasi-boundary value method for reconstructing the source term in a time-space fractional diffusion equation ⋮ Logarithmic Stable Recovery of the Source and the Initial State of Time Fractional Diffusion Equations ⋮ Inverse source problem with a posteriori boundary measurement for fractional diffusion equations ⋮ Uniqueness of inverse source problems for general evolution equations ⋮ Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source * ⋮ Identification of stationary source in the anomalous diffusion equation
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