Atsushi Kawamoto and Masahiro Yamamoto,
Determination of an electromagnetic potential for the Dirac equation,
Inverse Problems 28 (2012) 115012 (26pp). DOI : 10.1088/0266-5611/28/11/115012
Atsushi Kawamoto,
Inverse problems for linear degenerate parabolic equations by "time-like" Carleman estimate,
Journal of Inverse and Ill-posed Problems 23 (2015) 1--21. DOI : 10.1515/jiip-2013-0027
Atsushi Kawamoto,
Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation,
Inverse Problems and Imaging 12 (2018) 315--330. DOI : 10.3934/ipi.2018014
Atsushi Kawamoto,
Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates,
Journal of Inverse and Ill-posed Problems 26 (2018) 647--672. DOI : 10.1515/jiip-2016-0029
Atsushi Kawamoto and Manabu Machida,
Lipschitz Stability in Inverse Source and Inverse Coefficient Problems for a First- and Half-order Time-fractional Diffusion Equation,
SIAM Journal on Mathematical Analysis 52 (2020) 967--1005. (39 pages) DOI : 10.1137/18M1235776
Atsushi Kawamoto and Manabu Machida,
Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates,
Applicable Analysis 100 (2021) 752--771.
DOI : 10.1080/00036811.2019.1620931
Xinchi Huang and Atsushi Kawamoto,
Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates,
Inverse Problems and Imaging 16 (2022) 39--67. DOI : 10.3934/ipi.2021040
Atsushi Kawamoto, Manabu Machida, Masahiro Yamamoto,
Homogenization and inverse problems for fractional diffusion equations,
Fractional Calculus and Applied Analysis 26 (2023) 2118--2165. DOI : 10.1007/s13540-023-00195-8 /
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口頭発表
Determination of an electromagnetic potential for the Dirac equation, Thematic day on Inverse Problems, Institut Henri Poincaré, France, 12 November 2010.
Inverse problems for linear degenerate parabolic equations, International Conference on Inverse Problems and Related Topics 2012, Southeast University, Nanjing, China, 23 October 2012. (Invited plenary talk)
Inverse problems for linear degenerate parabolic equations, Seoul-Tokyo Conference on Elliptic and Parabolic PDEs and Related Topics, KIAS(Korea Institute for Advanced Study), Seoul, Korea, 1 December 2012. (poster session)
Carleman Estimates and Inverse Source Problems for Fractional Diffusion Equations, 2nd East Asia Section of IPIA-Young Scholars Symposium, NCTS(National Center for Theoretical Sciences), Taipei, Taiwan, 6 November 2016. (Invited talk)
Inverse problems for parabolic integro-differential equations,
若手研究集会「波動・振動・流れの制御と逆問題 -理論と数値計算-」,
同志社大学, 京都, 日本, 2017 年 8月 22日.
[ web ]
Inverse problems for a first- and half- order time fractional diffusion equation,
若手研究集会「波動・振動・流れの制御と逆問題 -理論と数値計算-」,
東京理科大学, 東京, 日本, 2019 年 8月 27日.
[ web ]
Homogenization and Inverse Problems for Fractional Diffusion Equations,
Minisymposium [MS02] Inverse problems and related topics for evolution equations (at The Second HKSIAM Biennial Meeting),
The Chinese University of Hong Kong, Hong Kong, 29 August 2023. (Invited talk)
[ web ]
組織委員,
Minisymposium [01996] Control and inverse problems on waves, oscillations and flows (at ICIAM 2023 TOKYO),
早稲田大学, 日本,
2023年 8月22日 - 8月23日.
[ web ]