1st Edition

Recent Developments in Evolution Equations



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ISBN 9780582246690
Published April 28, 1995 by Chapman and Hall/CRC
264 Pages

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Book Description

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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