Semigroups Associated with Dissipative Systems
Zhuangyi Liu, Song Mu Zheng · 1999
Preliminaries Some Definitions C0-Semigroup Generated by Dissipative Operator Exponential Stability and Analyticity The Sobolev Spaces and Elliptic Boundary Value Problems Linear Thermoelastic Systems The Setting of Problems for the One-Dimensional Thermoelastic System The Exponential Stability for the Dirichlet Boundary Conditions at Both Ends The Exponential Stability for the Stress-Free Boundary Conditions at Both Ends The Exponential Stability for the Stress-Free Boundary Conditions at One End The Thermoelastic Kirchhoff Plate Equations Linear Viscoelastic System Linear Viscoelastic System Wave Equation with Locally Distributed Damping Linear Viscoelastic System with Memory The Linear Viscoelastic Kirchoff Plate with Memory Linear Thermoviscoelastic Systems Linear One-Dimensional Thermoviscoelastic System Linear Three-Dimensional Thermoviscoelastic System with Memory Elastic Systems with Shear Damping Shear Diffusion Equations Laminated Beam with Shear Damping Linear Elastic Systems with Boundary Damping Second-Order Hyperbolic Equation Euler-Bernoulli Beam Equation Uniformly Stable Approximations Main Theorem Approximations of the Thermoelastic System Approximation of the Viscoelastic System Bibliography