PrefaceJin CHENG Jijun LIU Masahiro YAMAMOTO  

出　　处：《Chinese Annals of Mathematics,Series B》2014年第3期I0004-I0004,共1页数学年刊（B辑英文版）

摘　　要：Inverse problems and ill-posed problems are motivated by many applications in science and engineering, and have become an important area of applied mathematics. The mathematical analysis and numerical algorithms on this subject have broad impacts on the rapid development of engineering areas, including nondestructive tests, medical imaging, remote sensing, geophysics and so on. The main difficulties in studying the inverse problems for partial differential equations are their nonlinearity and ill-posedness. Since the 1980s, there have been many new mathematical results on the theory of inverse problems and the regularization of ill-posed problems.

关 键 词：偏微分方程反问题 应用数学 病态问题 数值算法 数学分析 无损检测 医疗影像 地球物理 

分 类 号：O175.26[理学—数学] O29[理学—基础数学]