Semigroups of Operators: Theory and Applications: International Conference in Newport Beach, December 14-18, 1998(42 Progress in Nonlinear Differential Equations and Their Applications)

These Proceedings comprise the bulk of the papers presented at the Inter­ national Conference on Semigroups of Opemtors: Theory and Contro~ held 14-18 December 1998, Newport Beach, California, U.S.A. The intent of the Conference was to highlight recent advances in the the­ ory of Semigroups of Operators which provides the abstract framework for the time-domain solutions of time-invariant boundary-value/initial-value problems of partial differential equations. There is of course a firewall between the ab­ stract theory and the applications and one of the Conference aims was to bring together both in the hope that it may be of value to both communities. In these days when all scientific activity is judged by its value on "dot com" it is not surprising that mathematical analysis that holds no promise of an immediate commercial product-line, or even a software tool-box, is not high in research priority. We are particularly pleased therefore that the National Science Foundation provided generous financial support without which this Conference would have been impossible to organize. Our special thanks to Dr. Kishan Baheti, Program Manager.

Table of Contents:
A Semigroup Approach to the Maximum Likelihood State Estimation of Stochastic Parabolic Systems.- Semigroup Theory in Aeroelasticity.- B-bounded Semigroups, Existence Families and Implicit Evolution Equations.- Semigroups and Asymptotic Mean Periodicity.- Some Problems in Stochastic Analysis and Semigroup Theory.- On Dirac Observables.- Solutions of the Operator Equation A*K + KA + KRK = -W.- Flutter as a Perturbation Problem for Semigroups.- Linear Extensions of Nonlinear Semigroups.- Second-order Subelliptic Operators on Lie Groups II: Real Measurable Principal Coefficients.- Generalized Wentzell Boundary Conditions and Analytic Semigroups in C[0,1].- Semigroup Theory and Operator Trigonometry.- Unbounded Representations of Discrete Abelian Semigroups.- Some Estimates of Solutions for the Equations of Motion Of Compressible Viscous Fluid in an 3D Exterior Domain.- An Approximation Theorem of LAX Type for Semigroups Of Lipschitz Operators.- Invariant Subspaces and Quasiaffine Transforms Of Unitary Operators.- Integrated C Semigroups and C-Cosine Functions Of Hermitian and Positive Operators.- On Lp-Theory of C0-Semigroups Generated By Elliptic Second Order Differential Expressions.- Rates of Local Ergodic Limits of N-Times Integrated Solution Families.- Abstract Well-Posed and Ill-Posed Cauchy Problems For Inclusions.- A Bounded Compact Semigroup on Hilbert Space Not Similar To a Contraction One.- Properties of Stabilization Functional for Parabolic Cauchy Problem.- On the Spectrum of Some Functional Differential Equations.- Logarithmic Characterization of Bounded Imaginary Powers.- Unilateral Shifts in Wavelet Theory and Algorithm.- Asymptotic Behavior of Semigroups of Holomorphic Mappings.- Fractional Powers of Operators Via Hypersingular Integrals.- Existence of Solutions for Cauchy Problems and Periodic Problems With Multivalued Pseudo Monotone Operators.- Nonhomogenous Damped String: Riesz Basis Property of Root Vectors Via Transformation Operators Method.- M-Accretive Quantization of the Vorticity Equation.- Feller Semigroups Generated by Degenerate Elliptic Operators II.- Incompressible Fluid Flows On Rough Domains.- Exact Boundary Controllability of Thermo-Elastic Plates With Variable Coefficients.- The Operator Equations AX ? XD2= ??0and Second Order Differential Equations in Banach Spaces.- Dilation to Unilateral Shifts.