Past and future of inverse problems
Pierre C. Sabatier
Source abstract
Inverse problems are those where a set of measured results is analyzed in order to get as much information as possible on a “model” which is proposed to represent a system in the real world. Exact inverse problems are related to most parts of mathematics. Applied inverse problems are the keys to other sciences. Hence the field, which is very wealthy, yields the best example of interdisciplinary research but it has nevertheless a strong individuality. The obtained results and explored directions of the 20th century are sketched in this review, with attempts to predict their evolution.
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