The principal theme of this book is uniqueness, stability, and existence of
the solutions of inverse problems for partial differential equations when the
right side is to be found. We describe the inverse problem of potential theory
and some closely related inverse problems. These problems have important
applications which we will not discuss in detail. We tell more about the
content in the foreword.
This book has been written mostly in Akademgorodok, the U.S.S.R., in
1984-1986, when the author applied to emigrate from the Soviet Union and
was dismissed from his teaching position at the Novosibirsk State Univer-
sity by Prof. M. M. Lavrent ev and then from his research position at the
Institute of Mathematics, Novosibirsk, by Prof. S. K. Godunov. Now this
painful time is in the past, but it is difficult to forget it.
The final version was written while visiting the Courant Institute of NYU
and at Wichita State University. The author would like to thank Alan Elcrat
and Jeffrey Powell for their help.
Wichita, October 1989