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9783764367916

Evolution Equations, Semigroups and Functional Analysis : In Memory of Brunello Terreni

by
  • ISBN13:

    9783764367916

  • ISBN10:

    3764367911

  • Format: Hardcover
  • Copyright: 2002-10-01
  • Publisher: Springer Verlag
  • Purchase Benefits
List Price: $176.00

Summary

Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi

Table of Contents

Preface vii
Bernhard Ruf
Alfredo Lorenzi
Brunello Terreni (1953--2000) ix
Sandro Levi
Remembering Brunello xi
Alfredo Lorenzi
Γ-Convergence for Infinite Dimensional Optimal Control Problems
1(26)
Paolo Acquistapace
Ariela Briani
A Degenerate Two-point Problem
27(12)
Viorel Barbu
Angelo Favini
Bounded Solutions for a Class of Quasi-linear Parabolic Problems with a Quadratic Gradient Term
39(10)
Lucio Boccardo
Maria Michaela Porzio
Degenerate Evolution Systems Modeling the Cardiac Electric Field at Micro- and Macroscopic Level
49(30)
Piero Colli Franzone
Giuseppe Savare
Singular Limits for Nonlinear Hyperbolic Systems
79(18)
Donatella Donatelli
Pierangelo Marcati
Bounded Perturbations of Ornstein-Uhlenbeck Semigroups
97(18)
Giuseppe Da Prato
Degenerate Integrodifferential Equations of Volterra Type in Banach Space
115(22)
Angelo Favini
Alfredo Lorenzi
Hiroki Tanabe
On a Class of Quasi Linear Equations in Infinite-dimensional Space
137(18)
Marco Fuhrman
Uniform Attractors of Nonautonomous Dynamical Systems with Memory
155(24)
Maurizio Grasselli
Vittorino Pata
On some Mathematical Aspects of the Ring Cavity Problem
179(18)
Reinhard Illner
Horst Lange
Holger Teismann
Hadamard Well-posedness of Weak Solutions in Nonlinear Dynamic Elasticity-full von Karman Systems
197(20)
Herbert Koch
Irena Lasiecka
Applications des sommes d'operateurs dans l'etude du comportement singulier des solutions dans les problemes elliptiques
217(20)
Rabah Labbas
Some Identification Problems Related to Thermal Materials with Loss of Memory
237(26)
Alfredo Lorenzi
On Generators of Noncommuting Semigroups: Sums, Interpolation, Regularity
263(16)
Alessandra Lunardi
Well-posedness for Nonautonomous Abstract Cauchy Problems
279(16)
Rainer Nagel
Gregor Nickel
The Cauchy Problem for a Semilinear Heat Equation with Singular Initial Data
295(16)
Bernhard Ruf
Elide Terraneo
Well-posedness and Asymptotic Behaviour of Non-autonomous Linear Evolution Equations
311(28)
Roland Schnaubelt
Abstract Hyperbolic Equations in Non-reflexive Spaces
339(14)
Eugenio Sinestrari
Min-Max Game Theory and Optimal Control with Indefinite Cost under a Singular Estimate for eAt B in the Absence of Analyticity
353(28)
Roberto Triggiani
Quasilinear Abstract Parabolic Evolution Equations with Applications
381
Atsushi Yagi

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