A matrix-valued generator \(\mathcal{A}\) with strong boundary coupling: a critical subspace of \(\mathcal D((-\mathcal{A})^{\frac{1}{2}})\) and \(\mathcal D((-\mathcal{A}^*)^{\frac{1}{2}})\) and implications
From MaRDI portal
Publication:325346
DOI10.3934/eect.2016.5.185zbMath1353.35216OpenAlexW2317716274MaRDI QIDQ325346
Publication date: 18 October 2016
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2016.5.185
fractional powersheat-structure interactioncontiguous structure domainheat domainhighly coupled boundary conditions
One-parameter semigroups and linear evolution equations (47D06) Asymptotic stability in control theory (93D20) Fractional partial differential equations (35R11) Initial-boundary value problems for PDEs of mixed type (35M13)
Related Items
Fluid-structure interaction with Kelvin-Voigt damping: analyticity, spectral analysis, exponential decay ⋮ A heat-viscoelastic structure interaction model with Neumann and Dirichlet boundary control at the interface: optimal regularity, control theoretic implications ⋮ Heat-structure interaction with viscoelastic damping: analyticity with sharp analytic sector, exponential decay, fractional powers ⋮ Fluid-plate interaction with Kelvin-Voigt damping and bending moment at the interface: well-posedness, spectral analysis, uniform stability ⋮ Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A heat-viscoelastic structure interaction model with Neumann and Dirichlet boundary control at the interface: optimal regularity, control theoretic implications
- Heat-structure interaction with viscoelastic damping: analyticity with sharp analytic sector, exponential decay, fractional powers
- Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications
- Representation and control of infinite dimensional systems
- Semigroups of linear operators and applications to partial differential equations
- Proof of extensions of two conjectures on structural damping for elastic systems
- Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs
- Fractional powers of dissipative operators
- Unified theory for abstract parabolic boundary problems - a semigroup approach
- Un teorema di interpolazione; applicazioni ai problemi ai limiti per l er le equazioni differenziali a derivate parziali
- Caractérisation de quelques espaces d'interpolation
- Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
- Domains of Fractional Powers of Matrix-valued Operators: A General Approach
- Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
