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

1. Front Matter

   Pages i-viii

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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

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.

• Boundary value problem
• Markov
• life sciences
• linear optimization
• model
• operator
• partial differential equations

• 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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