Inverse moving source problem for time-fractional evolution equations: determination of profiles

DOI10.1088/1361-6420/ac0c20zbMath1469.35257arXiv2002.00194OpenAlexW3176767642MaRDI QIDQ5002578

Guanghui Hu, Yikan Liu, Masahiro Yamamoto

Publication date: 28 July 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.00194

zbMATH Keywords

uniquenessvanishing propertyinverse moving source problemtime-fractional evolution equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation ⋮ Simultaneous uniqueness for multiple parameters identification in a fractional diffusion-wave equation ⋮ Imaging a Moving Point Source from Multifrequency Data Measured at One and Sparse Observation Directions (Part I): Far-Field Case ⋮ Uniqueness and stability for inverse source problem for fractional diffusion-wave equations ⋮ Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems ⋮ Classical unique continuation property for multi-term time-fractional evolution equations ⋮ Inverse obstacle scattering for acoustic waves in the time domain

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