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Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics

EVEQ2000 Conference in Levico Terme (Trento, Italy), October 30–November 4, 2000

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Mimmo Iannelli

    1. Department of Mathematics, University of Trento, Povo, Trento, Italy

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  2. Günter Lumer

    1. Institute of Mathematics and Informatics, University of Mons-Hainaut, Mons, Belgium

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  • Up-to-date material with many applications

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 55)

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Table of contents (29 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Evolution Problems Associated to Linear Growth Functionals: The Dirichlet Problem

    • Fuensanta Andreu, Vicent Caselles, José M. Mazón
    Pages 1-12

  3. Time Operators Associated to Dilations of Markov Processes

    • Ioannis Antoniou, Zdzislaw Suchanecki
    Pages 13-23

  4. Boundary-Value Problems for Systems of Hamilton-Jacobi-Bellman Inclusions with Constraints

    • Jean-Pierre Aubin
    Pages 25-60

  5. On a Convolution-Evolution Equation in Aeroelasticity

    • A. V. Balakrishnan
    Pages 61-82

  6. On the Effect of Small Delays to the Stability of Feedback Systems

    • András Bátkai, Bálint Farkas
    Pages 83-94

  7. Mean Square Continuity of Ornstein-Uhlenbeck Processes in Banach Spaces

    • Z. Brzeźniak, B. Goldys, J. M. A. M. van Neerven
    Pages 95-100

  8. Some Remarks on Maximal Regularity of Parabolic Problems

    • Philippe Clément, Jan Prüss
    Pages 101-111

  9. A Semigroup Approach to No-Arbitrage Pricing Theory: Constant Elasticity Variance Model and Term Structure Models

    • Fabrizio Colombo, Massimiliano Giuli, Vincenzo Vespri
    Pages 113-126

  10. Perturbations of Ornstein—Uhlenbeck Operators: an Analytic Approach

    • Giuseppe Da Prato
    Pages 127-139

  11. Towards an L 1-Theory for Vector-Valued Elliptic Boundary Value Problems

    • Robert Denk, Matthias Hieber, Jan Prüss
    Pages 141-147

  12. On Moving Boundaries in Elliptic—Parabolic Systems

    • Joachim Escher
    Pages 149-156

  13. Spectral Mapping Theorems and Spectral Space-Independence

    • Eva Fašanga
    Pages 157-168

  14. The Laplacian with Generalized Wentzell Boundary Conditions

    • Angelo Favini, Gisèle Ruiz Goldstein, Jerome A. Goldstein, Enrico Obrecht, Silvia Romanelli
    Pages 169-180

  15. Consistency and Stabilization of Rational Approximation Schemes for C 0-semigroups

    • Simone Flory, Frank Neubrander, Lutz Weis
    Pages 181-193

  16. Poincaré’s Inequality on Stratified Sets and Applications

    • Alexey A. Gavrilov, Serge Nicaise, Oleg M. Penkin
    Pages 195-213

  17. Variational Principles for Granular Matter

    • Karl P. Hadeler, Christina Kuttler
    Pages 215-225

  18. Homogeneous Dynamical Systems and the Age-Structured SIR Model with Proportionate Mixing Incidence

    • Mimmo Iannelli, Maia Martcheva
    Pages 227-251

  19. Asymptotic Behaviour of Solutions of Nonlinear Volterra Equations

    • Volker G. Jakubowski, Wolfgang M. Ruess
    Pages 253-273

  20. Semigroups for Initial-Boundary Value Problems

    • Marjeta Kramar, Delio Mugnolo, Rainer Nagel
    Pages 275-292
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Keywords

About this book

The seventh International Conference on Evolution Equations and their main areas of Applications (where the emphasis evolves as time and problems change) was held October 30 to November 4 at the CIRM (Centro Internazionale per la Ricerca Matematica) in Trento, Italy. In keeping with the basic principles and the recent tendencies governing these International Conferences, it brought together many of the world's leading experts in the fields mentioned, with particular effort on facilitating the interaction of established scientists and emerging young promising researchers, as well as the interaction of pure and applied specialists. In the latter directions, emphasis was extended here to include in addition to Physical and Life Sciences, also Industry and Economics. Topics among the recent advances treated here concern new developments in: moving boundary problems, asymptotics in non-linear Volterra equations and other asymptotics related developments, Poincare inequality on stratified sets, time operator and Markov processes in physics related advances, behavior of granu­ lar matter, stochastic aspects of Hamilton-Jacobi-Bellman equation, very general Paley-Wiener results applied to both classical and generalized functions, Ornstein­ Uhlenbeck operators and processes, quasilinear PDEs with memory operators, semi-group approach in economics (pricing theory) and other semi-group related developments, convolution-evolution equation in aeroelasticity, new developments in the study of age-structured models, new developments in maximal regularity.

Editors and Affiliations

  • Department of Mathematics, University of Trento, Povo, Trento, Italy

    Mimmo Iannelli

  • Institute of Mathematics and Informatics, University of Mons-Hainaut, Mons, Belgium

    Günter Lumer

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