Differential Equations in Banach Spaces

This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperbolic differential equations. Presenting methods and results in semigroup theory and their applications to evolution equations, this book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations; holomorphic semigroups; and Volterra operator integral equations.;With contributions from international experts, Differential Equations in Banach Spaces is intended for research mathematicians in functional analysis, partial differential equations, operator theory and control theory; and students in these disciplines.

GIOVANNI DORE is Associate Professor of Mathematical Analysis at the University of Bologna, Italy. He is the author of several professional papers on differential equations in Banach spaces and interpolation theory, among other subjects. Dr. Dore received the Lau- rea (1978) in mathematics from the University of Bologna. ANGELO FAVINI is Professor of Mathematical Analysis at the University of Bologna, Italy. His research interests focus on functional analysis, operator theory, differential equations in Banach spaces, and degenerate differential equations. He received the Laurea (1969) in mathematics from the University of Bologna. ENRICO OBRECHT is Professor of Mathematical Analysis at the University of Bologna, Italy. Dr. Obrecht’s research emphasizes boundary value problems for elliptic and parabolic partial differential equations and differential equations in Banach spaces, particularly for orders greater than one. He received the Laurea (1971) in mathematics from the University of Bologna. ALBERTO VENNI is Associate Professor of Mathematical Analysis at the University of Bologna, Italy. His research interests involve functional analysis, operator theory, and dif¬ferential equations in Banach spaces. Dr. Venni received the Laurea (1973) in mathematics from the University of Bologna.