Infinite-Time Admissibility of the Gurtin--Pipkin Systems in Hilbert Spaces
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Publication:5037501
DOI10.1137/21M1403849zbMath1485.93265OpenAlexW4213266649MaRDI QIDQ5037501
Lin Fu, Hua-Cheng Zhou, Jian-Hua Chen
Publication date: 1 March 2022
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1403849
Control/observation systems governed by partial differential equations (93C20) Control/observation systems governed by functional-differential equations (93C23) One-parameter semigroups and linear evolution equations (47D06) Control/observation systems in abstract spaces (93C25) Linear composition operators (47B33)
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- Lack of controllability of the heat equation with memory
- Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics
- Approximate controllability and lack of controllability to zero of the heat equation with memory
- A new approach to equations with memory
- A resolvent test for admissibility of Volterra observation operators
- Admissible observation operators for linear semigroups
- On the generalized Kramers problem with exponential memory friction
- Heat equation with memory: Lack of controllability to rest
- Semigroups of linear operators and applications to partial differential equations
- Exponential stabilization of Volterra integrodifferential equations in Hilbert space
- On the linear theory of viscoelasticity
- Exponential stability to a contact problem of partially viscoelastic materials
- Weighted composition operators on spaces of analytic functions on the complex half-plane
- Admissible control and observation operators for Volterra integral equations
- Analysis of operator models arising in problems of hereditary mechanics
- Spectral analysis and exponential stability of one-dimensional wave equation with viscoelastic damping
- Infinite-time exact observability of Volterra systems in Hilbert spaces
- The controllability of the Gurtin-Pipkin equation: a cosine operator approach
- A general theory of heat conduction with finite wave speeds
- Asymptotic stability in viscoelasticity
- Semilinear integrodifferential equations of hyperbolic type: existence in the large
- Admissibility of the Observation Operators for Volterra systems with Exponential Kernels
- Well-Posedness and Spectral Analysis of Hyperbolic Volterra Equations of Convolution Type
- Thermodynamics of Materials with Memory
- Spectra of the Gurtin–Pipkin Type Equations
- Exponential stability in linear viscoelasticity
- Mechanical Behavior of Materials
- Dynamic behavior of a heat equation with memory
- Semigroup Theory and Numerical Approximation for Equations in Linear Viscoelasticity
- One-Parameter Semigroups for Linear Evolution Equations
- Evolutionary Integral Equations and Applications
- Multipliers of Hilbert spaces of analytic functions on the complex half-plane
- Controllability of isotropic viscoelastic bodies of Maxwell–Boltzmann type
- Counterexamples Concerning Observation Operators for C0 -Semigroups
- Control of a Second-Order Integro-Differential Equation
- The Weiss conjecture on admissibility of observation operators for contraction semigroups
