Ito (North Carolina State U.) and Kappel (U. of Graz, Austria) offer a unified presentation of the general approach for well-posedness results using abstract evolution equations, drawing from and modifying the work of K. and Y. Kobayashi and S. +haru. They also explore abstract approximation results for evolution equations. Their work is not a textbook, but they explain how instructors can use various sections, or combinations of them, as a foundation for a range of courses. Annotation c. Book News, Inc., Portland, OR (booknews.com) Ito and Kappel offer a unified presentation of the general approach for well-posedness results using abstract evolution equations. -- Book News, Inc., 2002