The Galerkin finite element method for a multi-term time-fractional diffusion equation B Jin, R Lazarov, Y Liu, Z Zhou Journal of Computational Physics 281, 825-843, 2015 | 281 | 2015 |
Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients Z Li, Y Liu, M Yamamoto Applied Mathematics and Computation 257, 381-397, 2015 | 249 | 2015 |
Inverse problems of determining sources of the fractional partial differential equations Y Liu, Z Li, M Yamamoto Handbook of fractional calculus with applications 2, 411-430, 2019 | 130 | 2019 |
Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations D Jiang, Z Li, Y Liu, M Yamamoto Inverse Problems 33 (5), 055013, 2017 | 128 | 2017 |
Strong maximum principle for fractional diffusion equations and an application to an inverse source problem Y Liu, W Rundell, M Yamamoto Fractional Calculus and Applied Analysis 19 (4), 888-906, 2016 | 121 | 2016 |
Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem Y Liu Computers & Mathematics with Applications 73 (1), 96-108, 2017 | 61 | 2017 |
Inverse source problem for the hyperbolic equation with a time-dependent principal part D Jiang, Y Liu, M Yamamoto Journal of Differential Equations 262 (1), 653-681, 2017 | 55 | 2017 |
The uniqueness of inverse problems for a fractional equation with a single measurement Y Kian, Z Li, Y Liu, M Yamamoto Mathematische annalen 380 (3), 1465-1495, 2021 | 46* | 2021 |
Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation Y Liu, Z Zhang Journal of Physics A: Mathematical and Theoretical 50 (30), 305203, 2017 | 35 | 2017 |
Inverse source problem for a double hyperbolic equation describing the three-dimensional time cone model Y Liu, D Jiang, M Yamamoto SIAM Journal on Applied Mathematics 75 (6), 2610-2635, 2015 | 22 | 2015 |
Uniqueness of inverse source problems for general evolution equations Y Kian, Y Liu, M Yamamoto Communications in Contemporary Mathematics 25 (06), 2250009, 2023 | 15 | 2023 |
Inverse moving source problem for time-fractional evolution equations: determination of profiles Y Liu, G Hu, M Yamamoto Inverse Problems 37 (8), 084001, 2021 | 15* | 2021 |
Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation D Jiang, Y Liu, D Wang Advances in Computational Mathematics 46 (3), 43, 2020 | 15 | 2020 |
Inverse moving source problem for fractional diffusion (-wave) equations: Determination of orbits G Hu, Y Liu, M Yamamoto International Conference on Inverse Problems, 81-100, 2018 | 13 | 2018 |
Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior Y Liu, M Yamamoto Inverse Problems 39 (2), 024003, 2022 | 12 | 2022 |
Initial-boundary value problems for coupled systems of time-fractional diffusion equations Z Li, X Huang, Y Liu Fractional Calculus and Applied Analysis 26 (2), 533-566, 2023 | 10 | 2023 |
On the multiple hyperbolic systems modelling phase transformation kinetics Y Liu, M Yamamoto Applicable Analysis 93 (6), 1297-1318, 2014 | 10 | 2014 |
Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions Z Li, Y Liu, M Yamamoto arXiv preprint arXiv:2112.01018, 2021 | 8 | 2021 |
Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction J Yu, Y Liu, M Yamamoto Inverse Problems 34 (4), 045001, 2018 | 8 | 2018 |
Growth rate modeling and identification in the crystallization of polymers Y Liu, X Xu, M Yamamoto Inverse problems 28 (9), 095008, 2012 | 8 | 2012 |