The international conference on which the book is based brought together many of the world's leading experts, with particular effort on the interaction between established scientists and emerging young promising researchers, as well as on the interaction of pure and applied mathematics. All material has been rigorously refereed. The contributions contain much material developed after the conference, continuing research and incorporating additional new results and improvements. In addition, some up-to-date surveys are included.
|Series:||Progress in Nonlinear Differential Equations and Their Applications , #55|
|Edition description:||Softcover reprint of the original 1st ed. 2003|
|Product dimensions:||6.10(w) x 9.25(h) x 0.04(d)|
Table of ContentsPreface.- Evolution problems associated to linear growth functionals: the Dirichlet problem.- Time operators associated to dilations of Markov processes.- Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints.- On a convolution-evolution equation in aeroelasticity.- On the effect of small delays to the stability of feedback systems.- Mean square continuity of Ornstein-Uhlenbeck processes in Banach spaces.- Some remarks on maximal regularity of parabolic problems.- A semigroup approach to no-arbitrage pricing theory: constant elasticity variance model and term structure models.- Perturbations of Ornstein-Uhlenbeck operators: an analytic approach.- Towards an L1-theory for vector-valued elliptic boundary value problems.- On moving boundaries in elliptic-parabolic systems.- Spectral mapping theorems and spectral space-independence.- The Laplacian with generalized Wentzell boundary conditions.- Consistency and stabilization of rational approximation schemes for Co-semigroups.- Poincaré’s inequality on stratified sets and applications.- Variational principles for granular matter.- Homogeneous dynamical systems and the age-structured SIR model with proportionate mixing incidence.- Asymptotic behaviour of solutions of nonlinear Volterra equations.- Semigroups for initial boundary value problems.- Maximal Lp-regularity for second order elliptic operators with uniformly continuous coefficients on domains.- An age structured S.I. epidemic problem in a heterogeneous environment.- A general “isotropic” Paley-Wiener theorem and some of its applications.- Asymptotic stability for a functional differential equation in Hilbert space.- Self-intersections for Willmore flow.- Chernoff's theorem and the construction of semigroups.- Harmonic map heat flow generated by Markovian semigroups.- The Hamilton-Jacobi-Bellman equation and the stochastic Noether theorem.- Marcinkiewicz and Mihlin multiplier theorems, and R-boundedness.- Quasilinear P.D.E.s with memory operators.