Semigroups of Operators

by Balakrishnan, A. V.

• ISBN13: 9783764363109
• ISBN10: 376436310X
• Format: Hardcover
• Copyright: 2000-11-01
• Publisher: Birkhauser

Summary

This volume contains a collection of refereed papers by eminent experts originating from the "International Conference on Semigroups of Operators: Theory and Control", held in December 1998 in Newport Beach, California. They highlight recent advances in the theory of semigroups of operators which provide the framework for the time-domain solutions of time-invariant boundary value and initial value problems of partial differential equations. There is a firewall between the abstract theory and the applications, and one of the conference aims, which is reflected in this collection, was to bring them together for the benefit of both communities.

Table of Contents

Preface	v
A Semigroup Approach to the Maximum Likelihood State Estimation of Stochastic Parabolic Systems	1	(14)
Shin Ichi Aihara
Arunabha Bagchi
Semigroup Theory in Aeroelasticity	15	(10)
A. V. Balakrishnan
B-bounded Semigroups, Existence Families and Implicit Evolution Equatutions Equations	25	(10)
J. Banasiak
Semigroups and Asymptotic Mean Periodicity	35	(8)
Valentina Casarino
Some Problems in Stochastic Analysis and Semigroup Theory	43	(18)
Jan A. Van Castern
On Dirac Observables	61	(17)
H. O. Cordes
Solutions of the Operator Equation A*K + KA + KRK = -W	78	(11)
Richard Datko
Flutter as a Perturbation Problem for Semigroups	89	(7)
P. Dierolf
D. Schroder
J. Voigt
Linear Extensions of Nonlinear Semigroups	96	(7)
J. R. Dorroh
J. W. Neuberger
Second-order Subelliptic Operators on Lie Groups II: Real Measurable Principal Coefficients	103	(22)
A. F. M. ter Elst
Derek W. Robinson
Generalized Wentzell Boundary Conditions and Analytic Semigroups in C[0, 1]	125	(6)
Angelo Favini
Gisele R. Goldstein
Jerome A. Goldstein
Silvia Romanelli
Semigroup Theory and Operator Trigonometry	131	(10)
Karl Gustafson
Unbounded Representations of Discrete Abelian Semigroups	141	(10)
Laslo Kerchy
Some Estimates of Solutions for the Equations of Motion Of Compressible Viscous Fluid in an 3D Exterior Domain	151	(8)
Takayuki Kobayashi
An Approximation Theorem of LAX Type for Semigroups Of Lipschitz Operators	159	(8)
Yoshikazu Yobayashi
Shinnosuke Oharu
Naoki Tanaka
Invariant Subspaces and Quasiaffine Transforms Of Unitary Operators	167	(7)
Carlos S. Kubrusly
Integrated C Semigroups and C-Cosine Functions Of Hermitian and Positive Operators	174	(10)
Yuan-Chuan Li
Sen-Yen Shaw
On Lp-Theory of C0-Semigroups Generated By Elliptic Second Order Differential Expressions	184	(8)
Vitali Liskevich
Rates of Local Ergodic Limits of N-Times Integrated Solution Families	192	(11)
Hsiang Liu
Sen-Yen Shaw
Abstract Well-Posed and Ill-Posed Cauchy Problems For Inclusions	203	(10)
I. V. Melnikova
A Bounded Compact Semigroup on Hilbert Space Not Similar To a Contraction One	213	(4)
Christian le Merdy
Properties of Stabilization Functional for Parabolic Cauchy Problem	217	(5)
A. B. Muravnik
On the Spectrum of Some Functional Differential Equations	222	(7)
Toshiki Naito
Nguyen Van Minh
Jong Son Shin
Logarithmic Characterization of Bounded Imaginary Powers	229	(9)
Noboru Okazawa
Unilateral Shifts in Wavelet Theory and Algorithm	238	(11)
Joseph N. Q. Pham
Asymptotic Behavior of Semigroups of Holomorphic Mappings	249	(10)
Mark Elin
Simeon Reich
David Shoikhet
Fractional Powers of Operators Via Hypersingular Integrals	259	(14)
Stefan Samko
Existence of Solutions for Cauchy Problems and Periodic Problems With Multivalued Pseudo Monotone Operators	273	(14)
Naoki Shoiji
Nonhomogenous Damped String: Riesz Basis Property of Root Vectors Via Transformation Operators Method	287	(9)
Marianna A. Shubov
M-Accretive Quantization of the Vorticity Equation	296	(8)
V. Barbu
S. S. Sritharan
Feller Semigroups Generated by Degenerate Elliptic Operators II	304	(16)
Kazuaki Taira
Incompressible Fluid Flows On Rough Domains	320	(15)
Michael E. Taylor
Exact Boundary Controllability of Thermo-Elastic Plates With Variable Coefficients	335	(17)
M. Eller
I. Lasiecka
R. Triggiani
The Operator Equations AX - XD2 = -δ0 and Second Order Differential Equations in Banach Spaces	352	(12)
Elena Schuler
Vu Quoc Phong
Dilation to Unilateral Shifts	364
Pei Yuan Wu
Katsutoshi Takahashi