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

Preface.- 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.