Differential Equations in Banach Spaces: Proceedings of the Bologna Conference (Lecture notes in pure and applied mathematics ; 148)

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. Based on the Conference on Differential Equations, held in Bologna, this book provides information on research in parabolic and hyperbolic differential equations. It focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations; and, Volterra operator integral equations.