Zur Interpretation von Meßergebnissen

Abstract

In principle each applied problem in science, technology and medicine is an inverse problem. It is the only complete way of analyzing experimental results. Many parameters, such as, for example, gravity can be determined very accurately. On the other hand, there is almost a complete lack of a theory which would allow the determination of individual coefficients or the source term of a differential equation from measured data. The author’s experiences made in inverse problems of differential equations are the following: it is exceptional that an inverse problem can be uniquely solved by additional information on the boundary of a given domain. In general one can study the set of all solutions of an inveise problem as a first step. In a laboratory one can attempt to select a solution which is of interest in applications. There are relations to Cantor’s Continuum Hypothesis.