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This book presents the majority of talks given at an International Converence held recently at the University of Strathclyde in Glasgow. The works presented focus on the analysis of mathematical models of systems evolving with time. The main topics are semigroups and related subjects connected with applications to partial differential equations of evolution type. Topics of particular interest include spectral and asymptotic properties of semigroups, B evolution scattering theory, and coagulation fragmentation phenomena.
Table of Contents
Preface Plenary Lectures Obstacle Scattering for Elastic Waves-J.A. Goldstein and G. Shi Radiation Condition Method in Spectral and Scattering Theory-Y. Saito Implicit Evolution Equations and Empathy Theory-N. Sauer Periodic and Chaotic Behavior in Structured Models of Cell Population Dynamics-G.F. Webb Lectures Singular Perturbations of Resonance Type With Applications to the Kinetic Theory-J. Banasiak The Spectral Bound of Schrodinger Operators-C.J.K. Batty Renormalization Group Technique for Asymptotic Behavior of a Thermal Diffusive Model with Critical Nonlinearity-L. Berlyand and J. Xin On K(t) - Convoluted Semigroups-I Cioranescu and G. Lumer Remarks on the Spectrum of a Linear Wave Operator With Time Periodic Boundary Condition-J. Cooper and H. Koch Envire Vectors and Entire Existence Families-R. De Laubenfels Continuous Dependence of Nonnegative Solutions of the Heat Equation on Noncharacterisitc Cauchy Data-J.R. Dorroh A Theory of Strongly Continuous Semigroups in Terms of Lie Generators-J.R. Dorroh and J.W. Neuberger Smooth Fit for Some Bellman Equations-G. Ferreyra and O. Hijab Approximation fo Strongly Damped String Equations by Strongly Damped Beam Equations-W.E. Fitzgibbon and M.E. Parrott The Favard Class for a Nonlinear Parabolic Problem-G.R. Goldstein, J.A. Goldstein, and S. Oharu On First Order Discontinuouis Scalar Differential Equations-S. Heikkila Heat Kernel Estimates and Analytic Semigroups on L1 Spaces-M. Hieber Range Characterization, Hyper Markov Semigroups, and Hermite Polynomials-O. Hijab Exponential Stability of Spherically Symmetric Solutions to the Equations of a Viscous Polytropic Ideal Gas-S. Jiang Functional Calculi in Semigroup Theory-M. Jung Functional Analysis and Spherical Functions-R.M. Kauffman Ergodic Type Theorems for Nonlinear Semigroups With Holomorphic Generators-V. Khatskevich, S. Reich, and D. Shoikhet Asymptotic Solutions for Exceptional Cases of Characteristic Cauchy Problems to Fuchsian Partial Differential Equations-T. Mandai Perturbation of Cosine Operator Functions by Step Response and Cumulative Output-S. Piskarev and S.Y. Shaw Asymptotic Behavior of Solutions to Delay Functional Differential Equations-W. M. Ruess Global Existence for a Quasilinear Heat Equation-K. Saxton Nonstrictly Hyperbolic Systems of Partial Differential Equations-R. Saxton and V. Vinod Nonlinear Coupled Diffusion and Classical Lie Symmetry-R.J. WIltshire
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CHOICE – Outstanding Academic Title – Award Winner
CHOICE – 2018 Outstanding Academic Title – Award Winner
Shingo Research and Professional Publication Award Winner
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