Differential Equations in Banach Spaces (eBook, ePUB)

Redaktion: Dore, Giovanni

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 288
• Erscheinungstermin: 7. Oktober 2020
• Englisch
• ISBN-13: 9781000153651
• Artikelnr.: 60306316

Autorenporträt

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.

Inhaltsangabe

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.