Mimmo Iannelli – författare

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.

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.

This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas.

This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.

K.L. Cooke: Delay differential equations.- J.M. Cushing: Volterra integrodifferential equations in population dynamics.- K.P. Hadeler: Diffusion equations in biology.- S. Hastings: Some mathematical problems arising in neurobiology.- F.C. Hoppensteadt: Perturbation methods in biology.- S.O. Londen: Integral equations of Volterra type.

K.L. Cooke: Delay differential equations.- J.M. Cushing: Volterra integrodifferential equations in population dynamics.- K.P. Hadeler: Diffusion equations in biology.- S. Hastings: Some mathematical problems arising in neurobiology.- F.C. Hoppensteadt: Perturbation methods in biology.- S.O. Londen: Integral equations of Volterra type.

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.

This book provides an introduction to age-structured population modeling which emphasizes the connection between mathematical theory and underlying biological assumptions.Through the rigorous development of the linear theory and the nonlinear theory alongside numerics, the authors explore classical equations that describe the dynamics of certain ecological systems. Modeling aspects are discussed to show how relevant problems in the fields of demography, ecology and epidemiology can be formulated and treated within the theory. In particular, the book presents extensions of age-structured modeling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behavior of solutions, and numerical approximation. With sections on transmission models, non-autonomous models and global dynamics, this book fills a gap in the literature on theoretical population dynamics.The Basic Approach toAge-Structured Population Dynamics will appeal to graduate students and researchers in mathematical biology, epidemiology and demography who are interested in the systematic presentation of relevant models and mathematical methods.