Unique continuation property for the anomalous diffusion and its application

DOI10.1016/j.jde.2013.01.039zbMath1307.35312OpenAlexW2054798928MaRDI QIDQ1948998

Ching-Lung Lin, Gen Nakamura, Jin Cheng

Publication date: 25 April 2013

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2013.01.039

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (13)

SURE-type functionals as criteria for parametric PSF estimation ⋮ Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates ⋮ On time-fractional diffusion equations with space-dependent variable order ⋮ Unique continuation property for anomalous slow diffusion equation ⋮ Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation ⋮ Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions ⋮ Unique continuation property for multi-terms time fractional diffusion equations ⋮ Uniqueness for fractional nonsymmetric diffusion equations and an application to an inverse source problem ⋮ Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions ⋮ Classical unique continuation property for multi-term time-fractional evolution equations ⋮ Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate ⋮ An undetermined coefficient problem for a fractional diffusion equation ⋮ Unique continuation principle for the one-dimensional time-fractional diffusion equation

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