A backward problem for the time-fractional diffusion equation
By Jijun Liu, Masahiro Yamamoto. 2010
274 citations recorded by the source corpus.
Subfields: Mathematical Physics, Mechanics of Materials, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/e0d47a71aa3963f102b58c9b25306104735157e2
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In Mathematical Physics
In Mechanics of Materials
In Modeling and Simulation
Citations in the corpus
- An inverse time-dependent source problem for a time-fractional diffusion equation (2016, unknown): “Liu and Yamamoto in [14] proposed a quasi-reversibility method for solving the backward problem of a fractional diffusion equation.”
- An inverse problem for a one-dimensional time-fractional diffusion problem (2012, background): “Sakamoto and Yamamoto [23] established a generic well-posedness result and a uniqueness result for the inverse source problem.”
- A tutorial on inverse problems for anomalous diffusion processes (2015, unknown): “Sakamoto and Yamamoto [89] discussed the inverse problem of determining a spatially varying function of the source term by final overdetermined data in multi-dimension, and established its well-posedness in the Hadamard sense except for a discrete set of values of the diffusion constant, using an anal”