Floridia, Giuseppe; Liu, Yikan; Yamamoto, Masahiro Blowup in \(L^1(\Omega )\)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms. (English) Zbl 07797277 Adv. Nonlinear Anal. 12, Article ID 20230121, 15 p. (2023). MSC: 35R11 35B44 35K20 35K58 PDFBibTeX XMLCite \textit{G. Floridia} et al., Adv. Nonlinear Anal. 12, Article ID 20230121, 15 p. (2023; Zbl 07797277) Full Text: DOI arXiv OA License
Cen, Siyu; Jin, Bangti; Liu, Yikan; Zhou, Zhi Recovery of multiple parameters in subdiffusion from one lateral boundary measurement. (English) Zbl 07770226 Inverse Probl. 39, No. 10, Article ID 104001, 31 p. (2023). MSC: 35R30 35K20 65M32 PDFBibTeX XMLCite \textit{S. Cen} et al., Inverse Probl. 39, No. 10, Article ID 104001, 31 p. (2023; Zbl 07770226) Full Text: DOI arXiv OA License
Kian, Yavar; Liu, Yikan; Yamamoto, Masahiro Uniqueness of inverse source problems for general evolution equations. (English) Zbl 1517.35244 Commun. Contemp. Math. 25, No. 6, Article ID 2250009, 33 p. (2023). MSC: 35R11 35R30 35B60 PDFBibTeX XMLCite \textit{Y. Kian} et al., Commun. Contemp. Math. 25, No. 6, Article ID 2250009, 33 p. (2023; Zbl 1517.35244) Full Text: DOI arXiv
Li, Zhiyuan; Huang, Xinchi; Liu, Yikan Initial-boundary value problems for coupled systems of time-fractional diffusion equations. (English) Zbl 1511.35369 Fract. Calc. Appl. Anal. 26, No. 2, 533-566 (2023). MSC: 35R11 35K51 35B40 35B65 35R30 PDFBibTeX XMLCite \textit{Z. Li} et al., Fract. Calc. Appl. Anal. 26, No. 2, 533--566 (2023; Zbl 1511.35369) Full Text: DOI arXiv
Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions. (English) Zbl 1512.35626 Inverse Probl. Imaging 17, No. 1, 1-22 (2023). MSC: 35R11 35R30 35B53 35B60 PDFBibTeX XMLCite \textit{Z. Li} et al., Inverse Probl. Imaging 17, No. 1, 1--22 (2023; Zbl 1512.35626) Full Text: DOI arXiv
Liu, Yikan; Yamamoto, Masahiro Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior. (English) Zbl 1505.35370 Inverse Probl. 39, No. 2, Article ID 024003, 28 p. (2023). MSC: 35R30 35B40 35K20 35R11 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{M. Yamamoto}, Inverse Probl. 39, No. 2, Article ID 024003, 28 p. (2023; Zbl 1505.35370) Full Text: DOI arXiv
Huang, Xinchi; Liu, Yikan; Yamamoto, Masahiro Blow-up for time-fractional diffusion equations with superlinear convex semilinear terms. arXiv:2310.14295 Preprint, arXiv:2310.14295 [math.AP] (2023). MSC: 35R11 35K58 35B44 BibTeX Cite \textit{X. Huang} et al., ``Blow-up for time-fractional diffusion equations with superlinear convex semilinear terms'', Preprint, arXiv:2310.14295 [math.AP] (2023) Full Text: arXiv OA License
Huang, Xinchi; Liu, Yikan Long-time asymptotic estimate and a related inverse source problem for time-fractional wave equations. arXiv:2209.14762 Preprint, arXiv:2209.14762 [math.AP] (2022). BibTeX Cite \textit{X. Huang} and \textit{Y. Liu}, ``Long-time asymptotic estimate and a related inverse source problem for time-fractional wave equations'', Preprint, arXiv:2209.14762 [math.AP] (2022) Full Text: DOI arXiv OA License
Liu, Yikan; Yamamoto, Masahiro Uniqueness of inverse source problems for time-fractional diffusion equations with singular functions in time. arXiv:2209.04122 Preprint, arXiv:2209.04122 [math.AP] (2022). BibTeX Cite \textit{Y. Liu} and \textit{M. Yamamoto}, ``Uniqueness of inverse source problems for time-fractional diffusion equations with singular functions in time'', Preprint, arXiv:2209.04122 [math.AP] (2022) Full Text: DOI arXiv OA License
Liu, N. Q.; Chen, Y. J.; Liu, Y. K. Approximating credibilistic constraints by robust counterparts of uncertain linear inequality. (English) Zbl 1505.90160 Iran. J. Fuzzy Syst. 18, No. 5, 37-51 (2021). MSC: 90C70 PDFBibTeX XMLCite \textit{N. Q. Liu} et al., Iran. J. Fuzzy Syst. 18, No. 5, 37--51 (2021; Zbl 1505.90160) Full Text: DOI
Kian, Yavar; Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro The uniqueness of inverse problems for a fractional equation with a single measurement. (English) Zbl 1472.35455 Math. Ann. 380, No. 3-4, 1465-1495 (2021). MSC: 35R30 35A02 35K20 35R11 PDFBibTeX XMLCite \textit{Y. Kian} et al., Math. Ann. 380, No. 3--4, 1465--1495 (2021; Zbl 1472.35455) Full Text: DOI Link
Liu, Yikan; Hu, Guanghui; Yamamoto, Masahiro Inverse moving source problem for time-fractional evolution equations: determination of profiles. (English) Zbl 1469.35257 Inverse Probl. 37, No. 8, Article ID 084001, 24 p. (2021). MSC: 35R30 35A02 35K20 35L20 35R11 PDFBibTeX XMLCite \textit{Y. Liu} et al., Inverse Probl. 37, No. 8, Article ID 084001, 24 p. (2021; Zbl 1469.35257) Full Text: DOI arXiv
Li, Zhiyuan; Cheng, Xing; Liu, Yikan Generic well-posedness for an inverse source problem for a multi-term time-fractional diffusion equation. (English) Zbl 1461.35236 Taiwanese J. Math. 24, No. 4, 1005-1020 (2020). MSC: 35R30 35R25 35R11 35K15 47A55 PDFBibTeX XMLCite \textit{Z. Li} et al., Taiwanese J. Math. 24, No. 4, 1005--1020 (2020; Zbl 1461.35236) Full Text: DOI Euclid
Hu, Guanghui; Liu, Yikan; Yamamoto, Masahiro Inverse moving source problem for fractional diffusion(-wave) equations: determination of orbits. (English) Zbl 1443.35190 Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. Springer Proc. Math. Stat. 310, 81-100 (2020). MSC: 35R30 35R11 35L05 PDFBibTeX XMLCite \textit{G. Hu} et al., Springer Proc. Math. Stat. 310, 81--100 (2020; Zbl 1443.35190) Full Text: DOI arXiv
Jiang, Daijun; Liu, Yikan; Wang, Dongling Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation. (English) Zbl 1442.65229 Adv. Comput. Math. 46, No. 3, Paper No. 43, 24 p. (2020). MSC: 65M32 35R11 PDFBibTeX XMLCite \textit{D. Jiang} et al., Adv. Comput. Math. 46, No. 3, Paper No. 43, 24 p. (2020; Zbl 1442.65229) Full Text: DOI arXiv
Cheng, Jin; Liu, Yi-Kan; Wang, Yan-Bo; Yamamoto, Masahiro Unique continuation property with partial information for two-dimensional anisotropic elasticity systems. (English) Zbl 1482.74028 Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 3-17 (2020). MSC: 74B05 74E10 74G30 35Q74 PDFBibTeX XMLCite \textit{J. Cheng} et al., Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 3--17 (2020; Zbl 1482.74028) Full Text: DOI arXiv
Liu, Yikan Numerical schemes for reconstructing profiles of moving sources in (time-fractional) evolution equations. arXiv:2003.13919 Preprint, arXiv:2003.13919 [math.NA] (2020). BibTeX Cite \textit{Y. Liu}, ``Numerical schemes for reconstructing profiles of moving sources in (time-fractional) evolution equations'', Preprint, arXiv:2003.13919 [math.NA] (2020) Full Text: arXiv OA License
Kian, Yavar; Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement. arXiv:1907.02430 Preprint, arXiv:1907.02430 [math.AP] (2019). MSC: 35R30 35R11 58J99 BibTeX Cite \textit{Y. Kian} et al., ``Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement'', Preprint, arXiv:1907.02430 [math.AP] (2019) Full Text: arXiv OA License
Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro Inverse Problems of Determining Parameters of the Fractional Partial Differential Equations. arXiv:1904.05502 Preprint, arXiv:1904.05502 [math.AP] (2019). MSC: 35R11 26A33 35R30 65M32 BibTeX Cite \textit{Z. Li} et al., ``Inverse Problems of Determining Parameters of the Fractional Partial Differential Equations'', Preprint, arXiv:1904.05502 [math.AP] (2019) Full Text: DOI arXiv OA License
Liu, Yikan; Li, Zhiyuan; Yamamoto, Masahiro Inverse Problems of Determining Sources of the Fractional Partial Differential Equations. arXiv:1904.05501 Preprint, arXiv:1904.05501 [math.AP] (2019). MSC: 35R11 26A33 35R30 65M32 BibTeX Cite \textit{Y. Liu} et al., ``Inverse Problems of Determining Sources of the Fractional Partial Differential Equations'', Preprint, arXiv:1904.05501 [math.AP] (2019) Full Text: DOI arXiv OA License
Yu, Jie; Liu, Yikan; Yamamoto, Masahiro Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction. (English) Zbl 1516.35546 Inverse Probl. 34, No. 4, Article ID 045001, 30 p. (2018). MSC: 35R30 35L20 65M32 PDFBibTeX XMLCite \textit{J. Yu} et al., Inverse Probl. 34, No. 4, Article ID 045001, 30 p. (2018; Zbl 1516.35546) Full Text: DOI arXiv
Wang, Yanbo; Liu, Yikan; Cheng, Jin A new unique continuation property for the Lamé system in two dimensions. (Chinese. English summary) Zbl 1499.35142 Sci. Sin., Math. 47, No. 10, 1327-1334 (2017). MSC: 35B60 35Q74 35R30 PDFBibTeX XMLCite \textit{Y. Wang} et al., Sci. Sin., Math. 47, No. 10, 1327--1334 (2017; Zbl 1499.35142) Full Text: DOI
Liu, Yikan; Zhang, Zhidong Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation. (English) Zbl 1371.60138 J. Phys. A, Math. Theor. 50, No. 30, Article ID 305203, 27 p. (2017). MSC: 60J60 35K57 60G22 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{Z. Zhang}, J. Phys. A, Math. Theor. 50, No. 30, Article ID 305203, 27 p. (2017; Zbl 1371.60138) Full Text: DOI arXiv
Liu, Yikan Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem. (English) Zbl 1368.35273 Comput. Math. Appl. 73, No. 1, 96-108 (2017). MSC: 35R11 35B50 35R30 PDFBibTeX XMLCite \textit{Y. Liu}, Comput. Math. Appl. 73, No. 1, 96--108 (2017; Zbl 1368.35273) Full Text: DOI arXiv
Jiang, Daijun; Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations. (English) Zbl 1372.35364 Inverse Probl. 33, No. 5, Article ID 055013, 22 p. (2017). MSC: 35R30 35B60 35R11 PDFBibTeX XMLCite \textit{D. Jiang} et al., Inverse Probl. 33, No. 5, Article ID 055013, 22 p. (2017; Zbl 1372.35364) Full Text: DOI arXiv
Jiang, Daijun; Liu, Yikan; Yamamoto, Masahiro Inverse source problem for the hyperbolic equation with a time-dependent principal part. (English) Zbl 1362.35334 J. Differ. Equations 262, No. 1, 653-681 (2017). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 35R30 35L20 PDFBibTeX XMLCite \textit{D. Jiang} et al., J. Differ. Equations 262, No. 1, 653--681 (2017; Zbl 1362.35334) Full Text: DOI arXiv
Liu, Yikan; Rundell, William; Yamamoto, Masahiro Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. (English) Zbl 1346.35216 Fract. Calc. Appl. Anal. 19, No. 4, 888-906 (2016). MSC: 35R11 26A33 35B50 35R30 PDFBibTeX XMLCite \textit{Y. Liu} et al., Fract. Calc. Appl. Anal. 19, No. 4, 888--906 (2016; Zbl 1346.35216) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi The Galerkin finite element method for a multi-term time-fractional diffusion equation. (English) Zbl 1352.65350 J. Comput. Phys. 281, 825-843 (2015). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{B. Jin} et al., J. Comput. Phys. 281, 825--843 (2015; Zbl 1352.65350) Full Text: DOI arXiv
Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients. (English) Zbl 1338.35471 Appl. Math. Comput. 257, 381-397 (2015). MSC: 35R11 PDFBibTeX XMLCite \textit{Z. Li} et al., Appl. Math. Comput. 257, 381--397 (2015; Zbl 1338.35471) Full Text: DOI arXiv
Liu, Yikan; Jiang, Daijun; Yamamoto, Masahiro Inverse source problem for a double hyperbolic equation describing the three-dimensional time cone model. (English) Zbl 1433.74088 SIAM J. Appl. Math. 75, No. 6, 2610-2635 (2015). MSC: 74N05 35Q74 35R30 PDFBibTeX XMLCite \textit{Y. Liu} et al., SIAM J. Appl. Math. 75, No. 6, 2610--2635 (2015; Zbl 1433.74088) Full Text: DOI
Liu, Yikan; Yamamoto, Masahiro On the multiple hyperbolic systems modelling phase transformation kinetics. (English) Zbl 1391.74012 Appl. Anal. 93, No. 6, 1297-1318 (2014). MSC: 74A25 74N05 35L30 65M06 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{M. Yamamoto}, Appl. Anal. 93, No. 6, 1297--1318 (2014; Zbl 1391.74012) Full Text: DOI arXiv
Liu, Yikan; Xu, Xiang; Yamamoto, Masahiro Growth rate modeling and identification in the crystallization of polymers. (English) Zbl 1252.82125 Inverse Probl. 28, No. 9, Article ID 095008, 13 p. (2012). MSC: 82D60 82B26 35P10 35Q31 45G10 65H10 65F22 PDFBibTeX XMLCite \textit{Y. Liu} et al., Inverse Probl. 28, No. 9, Article ID 095008, 13 p. (2012; Zbl 1252.82125) Full Text: DOI
Liu, Y. K.; Dai, X. D. The convergence modes in random fuzzy theory. (English) Zbl 1190.90298 Thai J. Math. 6, No. 1, 37-47 (2008). MSC: 90C70 PDFBibTeX XMLCite \textit{Y. K. Liu} and \textit{X. D. Dai}, Thai J. Math. 6, No. 1, 37--47 (2008; Zbl 1190.90298)