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Formulas in Inverse and Ill-Posed Problems

Inverse and Ill-Posed Problems Series

Yu.E. Anikonov

This monograph is devoted to constructive investigation methods ofmultidimensional, mainly nonlinear, inverse problems for evolutionequations. The author has discovered various explicit formulas whichdetermine solutions of inverse problems. These formulas contain arbitraryfunctions and the functions which satisfy some differential equations.

Numerous results on simultaneous determination of coefficients andsolutions of differential equations and inequalities are given in this book. Italso contains new differential and integro-differential equations as well asreducing of multidimensional inverse problems to the initial boundary forthese equations.

The methods and results of multidimensional are, and will be, importanttools in various kinds of engineering, planning, control and identificationsituations. This monograph, together with the authors's previous monographMultidimensional Inverse and Ill-Posed Problems for DifferentialEquations, provide a wide collection of investigation methods in this fieldand will be of value and interest to researchers in these and related subjects.

1997; iv+204 pages
ISBN 90-6764-216-9
Price (all prices are subject to change without notice): EUR 147/US$ 210

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