Differential Equations in Banach Spaces: Proceedings of the Bologna Conference

ISBN-13: 9780824790677 / Angielski / Miękka / 1993 / 288 str.

Dore Dore; Giovanni Dore; Giovanni Dore

Opis

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.

Spis treści

Abstract linear non-autonomous parabolic equations - a survey, Paolo Acquistapace; on some classes of singular variational inequalities, Marco Luigi Bernardi and Fabio Luterotti; non-uniqueness in L(?????) - an example, Julio E. Bouillet; some results on abstract evolution equations of hyperbolic type, Piermarco Cannarsa and Giuseppe Da Prato; interpolation and extrapolation spaces and parabolic equations, Gabriella Di Blasio; on the diagonalization of certain operator matrices related to Volterra equations, Klaus-Jochen Engel; second order abstract equations with nonlinear boundary conditions - applications to von Karman system with boundary damping, A. Favini and I. Lasiecka; linear parabolic differential equations of higher order in time, Angelo Favini and Hiroki Tanabe; analytic and gevrey class semigroups generated by -A + iB, and applications, A. Favini and R. Triggiani; the Kompaneets equation, Jerome A. Goldstein; multiplicative perturbation of resolvent positive operators, Abrecht Holderrieth; uniform decay rates for semilinear wave equations with nonlinear and nonmonotone boundary feedback - without geometric conditions, I. Lasiecka and D. Tataru; sharp trace estimates of solutions to Kirchhoff and Euler-Bernoulli equations, I. Lasiecka and R. Triggiani; boundary values of holomorphic semigroups, H(?????) functional calculi and the inhomogeneous abstract Cauchy problem, Ralph deLaubenfels; stability of linear evolutionary systems with applications to viscoelasticity, Jan Pruss; generation of analytic semigroups by variational operators with L(?????) coefficients, Vincenzo Vespri; asynchronous exponential growth in differential equations with homogeneous nonlinearities, G.F. Webb; the inversion of the vector-valued Laplace transform in L[p](X)-spaces, L. Weis; some quasilinear parabolic problems in applied mathematics, Atsushi Yagi.

O autorze

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.