Recent Developments in Evolution Equations: 1st Edition (Hardback) book cover

Recent Developments in Evolution Equations

1st Edition

By G F Roach, A C Mcbride

Chapman and Hall/CRC

264 pages

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Hardback: 9780582246690
pub: 1995-04-28
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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

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis