基本信息:
姓名:李志远
专业:应用数学
职称:教授
E-mail:lizhiyuan@navbocai.com
研究方向:
1. 微分方程中的反问题 Inverse problems for differential equations
2. 微分方程近似能控性Approximate controllability of differential equations
3. 正则化算法Regularization methods
教育背景:
2013.04-2016.03 东京大学大学院数理科学研究科 博士生
2011.10-2013.03 东京大学大学院数理科学研究科 硕士生
2010.09-2011.09 中国科学技术大学数学科学学院 博士课程
2008.09-2010.06 中国科学技术大学数学科学学院 硕士课程
2004.09-2008.06 安徽大学数学科学学院 本科生
工作经历:
2024.01-至今 宁波大学博彩导航
教授
2021.12-2023.12 宁波大学博彩导航
副教授
2017.09-2021.11 山东理工大学博彩导航
副教授
2016.04-2017.09 东京大学大学院数理科学研究科 特任研究员
访学经历:
2018.01-2018.02 日本东京大学(访问:Masahiro Yamamoto)
2015.10-2015.11 法国艾克斯马赛大学(访问:Eric Soccorsi,Yavar Kian)
2014.05-2014.06 德国柏林工业大学(访问:Yuri Luchko)
学术兼职:
《Math Review》评论员;
《Mathematics》杂志Topic Editor。
代表性论文与出版物:
1. Li R, Li Z. Identifying unknown source in degenerate parabolic equation from final observation. Inverse Problems in Science and Engineering, 2021, 29(7): 1012–1031.
2. Li Z, Zhang Z. Unique determination of fractional order and source term in a fractional diffusion equation from sparse boundary data, Inverse Problems, 2020, 36(11): 115013 (20pp).
3. Kian Yavar, Li Z, Liu Y, Yamamoto M. The uniqueness of inverse problems for a fractional equation with a single measurement. Mathematische Annalen, 2020: 1–31.
4. Floridia G, Li Z, Yamamoto M. Well-Posedness for the backward problems in time for general time-fractional diffusion equation, Rendiconti Lincei Matematica e Applicazioni, 2020, 31(3): 593–610.
5. Li Z, Huang X, Yamamoto M. A stability result for the determination of order in time-fractional diffusion equations. Journal of Inverse and Ill-posed Problems, 2020, 28(3): 379–388.
6. Li Z, Fujishiro K, Li G. Uniqueness in the inversion of distributed orders in ultraslow diffusion equations. Journal of Computational and Applied Mathematics, 2020, 369: 112564.
7. Li Z, Cheng X, Liu Y. Generic well-posedness for an inverse source problem for a multi-term time-fractional diffusion equation. Taiwanese Journal of Mathematics, 2020, 24(4): 1005-1020.
8. Li Z, Huang X, Yamamoto M. Initial-boundary value problems for multi-term time-fractional diffusion equations with x-dependent coefficients. Evolution Equations & Control Theory, 2020; 9.1: 153–179.
9. Li Z, Cheng X, Li G. An inverse problem in time-fractional diffusion equations with nonlinear boundary condition. Journal of Mathematical Physics, 2019, 60: 091502.
10. Li Z, Yamamoto M. Unique continuation principle for the one-dimensional time-fractional diffusion equation. Fractional Calculus and Applied Analysis, 2019; 22.3: 644–657.
11. Li Z, Kian Y, Soccorsi E. Initial-boundary value problem for distributed order time-fractional diffusion equations, Asymptotic Analysis, 2019, 115.1-2: 95–126.
12. Li Z, Huang X, Yamamoto M. Carleman estimates for the time-fractional advection-diffusion equations and applications. Inverse Problems, 2019, 35: 045003.
13. Li Z, Yamamoto M. Inverse Problems of Determining Coefficients of the Fractional Partial Differential Equations. Kochubei, Anatoly and Luchko, Yuri (eds.), Handbook of Fractional Calculus with Applications. Volume 2 Fractional Differential Equations, De Gruyter, 2019, 443-464.
14. Li Z, Liu Y, Yamamoto M. Inverse Problems of Determining Parameters of the Fractional Partial Differential Equations. Kochubei, Anatoly and Luchko, Yuri (eds.), Handbook of Fractional Calculus with Applications. Volume 2 Fractional Differential Equations, De Gruyter, 2019, 431–442.
15. Liu Y, Li Z, Yamamoto M. Inverse Problems of Determining Sources of the Fractional Partial Differential Equations. Kochubei, Anatoly and Luchko, Yuri (eds.), Handbook of Fractional Calculus with Applications. Volume 2 Fractional Differential Equations, De Gruyter, 2019, 411–430.
16. Jiang D, Li Z, Liu Y, Yamamoto M. Weak unique continuation and a related inverse source problem for time fractional diffusion equations. Inverse Problems. 2017; 33(5): 055013.
17. Li Z, Luchko Y, Yamamoto M. Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem. Computers & Mathematics with Applications. 2017; 73(6): 1041–1052.
18. Cheng X, Li Z, Yamamoto M. Asymptotic behavior of solutions to space-time fractional diffusion equations. Mathematical Methods in the Applied Sciences. 2017; 40(4): 1019–1031.
19. Li Z, Imanuvilov OY, Yamamoto M. Uniqueness in inverse boundary value problems for fractional diffusion equations. Inverse Problems. 2016; 32(1): 015004.
20. Li Z, Liu Y, Yamamoto M. Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients. Applied Mathematics and Computation. 2015; 257: 381–397.
21. Li Z, Yamamoto M. Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation. Applicable Analysis. 2015; 94(3): 570–579.
22. Li Z, Luchko Y, Yamamoto M. Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations. Fractional Calculus and Applied Analysis. 2014; 17(4): 1114–1136.
科研项目:
1. 国家自然科学基金青年基金项目:分数阶扩散方程中几类反问题的理论分析与反演算法研究,11801326,2019年1月—2021年12月,主持。
2. 日本学术振兴会:Grant-in-Aid for Research Activity start-up, 16H06712,2016年08月—2018年03月,主持。
教学状况:
1. 主讲本科《高等数学》、《线性代数》、《复变函数与积分变换》、《概率论与数理统计》等课程。
2. 主讲研究生《反问题前沿研究》、《傅里叶分析及应用》等课程。