Liu, Z, Zheng, Songmu 　著

内容

目次

PreliminariesSome DefinitionsC0-Semigroup Generated by Dissipative OperatorExponential Stability and AnalyticityThe Sobolev Spaces and Elliptic Boundary Value ProblemsLinear Thermoelastic SystemsThe Setting of Problems for the One-Dimensional Thermoelastic SystemThe Exponential Stability for the Dirichlet Boundary Conditions at Both EndsThe Exponential Stability for the Stress-Free Boundary Conditions at Both EndsThe Exponential Stability for the Stress-Free Boundary Conditions at One EndThe Thermoelastic Kirchhoff Plate EquationsLinear Viscoelastic SystemLinear Viscoelastic SystemWave Equation with Locally Distributed DampingLinear Viscoelastic System with MemoryThe Linear Viscoelastic Kirchoff Plate with MemoryLinear Thermoviscoelastic SystemsLinear One-Dimensional Thermoviscoelastic SystemLinear Three-Dimensional Thermoviscoelastic System with MemoryElastic Systems with Shear DampingShear Diffusion EquationsLaminated Beam with Shear DampingLinear Elastic Systems with Boundary DampingSecond-Order Hyperbolic EquationEuler-Bernoulli Beam EquationUniformly Stable ApproximationsMain TheoremApproximations of the Thermoelastic SystemApproximation of the Viscoelastic SystemBibliography