Recent Developments in Evolution Equations

1. Auflage 1995
ISBN: 978-0-582-24669-0
Verlag: Chapman and Hall/CRC

Buch, Englisch, 264 Seiten, Format (B × H): 169 mm x 244 mm, Gewicht: 408 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

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.

Autoren/Hrsg.

Roach, G. F.

Mcbride, A C

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik

Inhaltsverzeichnis

PrefacePlenary LecturesObstacle Scattering for Elastic Waves-J.A. Goldstein and G. ShiRadiation Condition Method in Spectral and Scattering Theory-Y. SaitoImplicit Evolution Equations and Empathy Theory-N. SauerPeriodic and Chaotic Behavior in Structured Models of Cell Population Dynamics-G.F. WebbLecturesSingular Perturbations of Resonance Type With Applications to the Kinetic Theory-J. BanasiakThe Spectral Bound of Schrodinger Operators-C.J.K. BattyRenormalization Group Technique for Asymptotic Behavior of a Thermal Diffusive Model with Critical Nonlinearity-L. Berlyand and J. XinOn K(t) - Convoluted Semigroups-I Cioranescu and G. LumerRemarks on the Spectrum of a Linear Wave Operator With Time Periodic Boundary Condition-J. Cooper and H. KochEnvire Vectors and Entire Existence Families-R. De LaubenfelsContinuous Dependence of Nonnegative Solutions of the Heat Equation on Noncharacterisitc Cauchy Data-J.R. DorrohA Theory of Strongly Continuous Semigroups in Terms of Lie Generators-J.R. Dorroh and J.W. NeubergerSmooth Fit for Some Bellman Equations-G. Ferreyra and O. HijabApproximation fo Strongly Damped String Equations by Strongly Damped Beam Equations-W.E. Fitzgibbon and M.E. ParrottThe Favard Class for a Nonlinear Parabolic Problem-G.R. Goldstein, J.A. Goldstein, and S. OharuOn First Order Discontinuouis Scalar Differential Equations-S. HeikkilaHeat Kernel Estimates and Analytic Semigroups on L1 Spaces-M. HieberRange Characterization, Hyper Markov Semigroups, and Hermite Polynomials-O. HijabExponential Stability of Spherically Symmetric Solutions to the Equations of a Viscous Polytropic Ideal Gas-S. JiangFunctional Calculi in Semigroup Theory-M. JungFunctional Analysis and Spherical Functions-R.M. KauffmanErgodic Type Theorems for Nonlinear Semigroups With Holomorphic Generators-V. Khatskevich, S. Reich, and D. ShoikhetAsymptotic Solutions for Exceptional Cases of Characteristic Cauchy Problems to Fuchsian Partial Differential Equations-T. MandaiPerturbation of Cosine Operator Functions by Step Response and Cumulative Output-S. Piskarev and S.Y. ShawAsymptotic Behavior of Solutions to Delay Functional Differential Equations-W. M. RuessGlobal Existence for a Quasilinear Heat Equation-K. SaxtonNonstrictly Hyperbolic Systems of Partial Differential Equations-R. Saxton and V. VinodNonlinear Coupled Diffusion and Classical Lie Symmetry-R.J. WIltshire