Unique continuation principle for the one-dimensional time-fractional diffusion equation

DOI10.1515/fca-2019-0036zbMath1423.35404arXiv1806.06164OpenAlexW2966564579WikidataQ127409543 ScholiaQ127409543MaRDI QIDQ2328629

Masahiro Yamamoto, Zhi-yuan Li

Publication date: 10 October 2019

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06164

zbMATH Keywords

Laplace transformfractional diffusion equationunique continuation principlefractional theta function

Mathematics Subject Classification ID

Laplace transform (44A10) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items

Recovering a time-dependent potential function in a multi-term time fractional diffusion equation by using a nonlinear condition, Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions, 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, Recovering a time-dependent potential function in a time fractional diffusion equation by using a nonlinear condition

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