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List of contents
Preface -- Contributors -- Conference Participants -- Abstract Linear Nonautonomous Parabolic :Equations: A Survey /Paolo Acquistapace -- On Some Classes of Singular Variational Inequalities /Marco Luigi Bernardi and Fabio Luterotti -- Nonuniqueness in L 00: An Example /Julio E. Bouillet -- Some Results on Abstract Evolution :Equations of Hyperbolic Type /Piennarco 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 a von Karman System with Boundary Damping /A. Favini and I. Lasiecka -- Linear Parabolic Differential :Equations of Higher Order in Time /A. 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 /Albrecht Holderrieth -- Uniform Decay Rates for Semilinear Wave Equations with Nonlinear and Nonmonotone Boundary Feedback, without Geometric Conditions /I. Lasiecka and D. Tataro -- Sharp Trace Estimates of Solutions to Kirchhoff and Euler-Bernoulli Equations /I. Lasiecka and R. Triggiani -- Boundary Values of Holomorphic Semigroups, H00 Functional Calculi, and the Inhomogeneous Abstract Cauchy Problem /Ralph deLaubenjels -- Stability of Linear Evolutionary Systems with Applications to Viscoelasticity /Jan Pruss -- Generation of Analytic Semigroups by Variational Operators with L 00 Coefficients /Vincenzo Vespri -- Asynchronous Exponential Growth in Differential Equations with Homogeneous Nonlinearities /G. F. Webb -- Inversion of the Vector-Valued Laplace Transform in L,(X)-Spaces /L. Weis -- Some Quasilinear Parabolic Problems in Applied Mathematics /Atsushi Yagi -- Index.
Summary
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.
