1-3 学术 研究 | 近五年来承担的学术研究课题(含课题名称、课题类别、来源、年限、本人所起作用)(不超过五项);在国内外主要刊物上发表的学术论文(含题目、刊物名称与级别、时间、署名次序)(不超过十项);获得的学术研究表彰/奖励(含奖项名称、授予单位、时间、署名次序)(不超过五项)。 学术研究课题: 国家基金“数学物理反问题的条件稳定性及正则化算法”(1999-2001); 负责 国家基金“数学物理反问题及算法”(2002-2005); 负责 曙光计划项目“数学物理方程的反问题及其应用(2004-2006)” ; 负责 学术研究表彰/奖励情况: 获得上海市科技进步三等奖,1999年; 国家教育部科技成果奖, 2001年; 国际分析、应用及计算协会(ISAAC)青年科学家奖, 2001年(独立)。国家发明专利一项 (申请号:96116339.9,公开号:CN 1146319A)。 出访过14个国家与地区的20余所大学。发表学术论文50篇。被 国内外学者在SCI论文中的多次引用。主要学术论文: [1] Cheng, J.; Xu, D. H.; Yamamoto, M. The local conditional stability estimate for an inverse contact problem in the elasticity. J. Elasticity 65 (2001), no. 1-3, 33--47 (2002). [2] Bruckner, Gottfried; Cheng, Jin; Yamamoto, Masahiro An inverse problem in diffractive optics: conditional stability. Inverse Problems 18 (2002), no. 2, 415--433. [3] Cheng, J.; Yamamoto, M. Identification of convection term in a parabolic equation with a single measurement. Nonlinear Anal. 50 (2002), no. 2, Ser. A: Theory Methods, 163--171. [4] Cheng, J.; Hon, Y. C.; Wei, T.; Yamamoto, M. Numerical computation of a Cauchy problem for Laplace's equation. ZAMM Z. Angew. Math. Mech. 81 (2001), no. 10, 665--674. [5] Cheng, J.; Nakamura, G. Stability for the inverse potential problem by finite measurements on the boundary. Inverse Problems 17 (2001), no. 2, 273--280. [6] Cheng, Jin; Nakamura, Gen; Somersalo, Erkki Uniqueness of identifying the convection term. Commun. Korean Math. Soc. 16 (2001), no. 3, 405--413. [7] Bukhgeim, A. L.; Cheng, J.; Isakov, V.; Yamamoto, M. Uniqueness in determining damping coefficients in hyperbolic equations. Analytic extension formulas and their applications (Fukuoka, 1999/Kyoto, 2000), 27--46, Int. Soc. Anal. Appl. Comput., 9, Kluwer Acad. Publ., Dordrecht, 2001. [8 ] Cheng, J.; Hon, Y. C.; Yamamoto, M. Conditional stability estimation for an inverse boundary problem with non-smooth boundary in $\bold R\sp 3$. Trans. Amer. Math. Soc. 353 (2001), no. 10, 4123--4138 [9] Bruckner, G.; Cheng, J. Tikhonov regularization for an integral equation of the first kind with logarithmic kernel. J. Inverse Ill-Posed Probl. 8 (2000), no. 6, 665--675. [10] Cheng, J.; Yamamoto, M. One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization. Inverse Problems 16 (2000), no. 4, L31--L38. [11] Cheng, Jin; Yamamoto, Masahiro Conditional stabilizing estimation for an integral equation of first kind with analytic kernel. J. Integral Equations Appl. 12 (2000), no. 1, 39--61. [12] Cheng, J.; Yamamoto, M. The global uniqueness for determining two convection coefficients from Dirichlet to Neumann map in two dimensions. Inverse Problems 16 (2000), no. 3, L25--L30. |