书目名称 | Inverse Problems for Partial Differential Equations |
编辑 | Victor Isakov |
视频video | |
概述 | This book is a comprehensive description of the current theoretical and numerical aspects of a particular type of partial differential equations..Material is presented in a readable and informative ma |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
描述 | This book describes the contemporary state of the theory and some numerical aspects of inverse problems in partial differential equations. The topic is of sub stantial and growing interest for many scientists and engineers, and accordingly to graduate students in these areas. Mathematically, these problems are relatively new and quite challenging due to the lack of conventional stability and to nonlinearity and nonconvexity. Applications include recovery of inclusions from anomalies of their gravitational fields; reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurements, recovery of interior structural parameters of detail of machines and of the underground from similar data (non-destructive evaluation); and locating flying or navigated objects from their acoustic or electromagnetic fields. Currently, there are hundreds of publica tions containing new and interesting results. A purpose of the book is to collect and present many of them in a readable and informative form. Rigorous proofs are presented whenever they are relatively short and can be demonstrated by quite general mathematical techniques. Also, we prefer to present |
出版日期 | Book 19981st edition |
关键词 | differential equation; hyperbolic equation; mathematical analysis; numerical methods; partial differenti |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4899-0030-2 |
isbn_ebook | 978-1-4899-0030-2Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer Science+Business Media New York 1998 |