-regularity of the boundary to boundary operator for hyperbolic and Petrowski PDEs.
Lasiecka, I., Triggiani, R. (2003)
Abstract and Applied Analysis
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Displaying similar documents to “The operator for the wave equation with Dirichlet control.”
-regularity of the boundary to boundary operator for hyperbolic and Petrowski PDEs.
An abstract setting for differential Riccati equations in optimal control problems for hyperbolic/Petrowski-type P. D. E. s with boundary control and slightly smoothing observation.
Triggiani, R. (1996)
Abstract and Applied Analysis
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Regularity up to the boundary of solutions of the Dirichlet problem for certain degenerate elliptic equations.
Petronilho, G. (1998)
Portugaliae Mathematica
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Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation
Irena Lasiecka, Roberto Triggiani (2008)
Control and Cybernetics
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Uniform stabilization of a coupled structural acoustic system by boundary dissipation.
Camurdan, Mehmet (1998)
Abstract and Applied Analysis
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On the well-posedness and regularity of the wave equation with variable coefficients
Bao-Zhu Guo, Zhi-Xiong Zhang (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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An open-loop system of a multidimensional wave equation with variable coefficients, partial boundary Dirichlet control and collocated observation is considered. It is shown that the system is well-posed in the sense of D. Salamon and regular in the sense of G. Weiss. The Riemannian geometry method is used in the proof of regularity and the feedthrough operator is explicitly computed.
Sufficient optimality conditions for multivariable control problems
Andrzej Nowakowski (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We study optimal control problems for partial differential equations (focusing on the multidimensional differential equation) with control functions in the Dirichlet boundary conditions under pointwise control (and we admit state - by assuming weak hypotheses) constraints.
On the regularity of boundary traces for the wave equation
Daniel Tataru (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions
Catherine Lebiedzik, Roberto Triggiani (2009)
Control and Cybernetics
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Control-theoretic properties of structural acoustic models with thermal effects, II. Trace regularity results
Francesca Bucci (2008)
Applicationes Mathematicae
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We consider a structural acoustic problem with the flexible wall modeled by a thermoelastic plate, subject to Dirichlet boundary control in the thermal component. We establish sharp regularity results for the traces of the thermal variable on the boundary in case the system is supplemented with clamped mechanical boundary conditions. These regularity estimates are most crucial for validity of the optimal control theory developed by Acquistapace et al. [Adv. Differential Equations, 2005],...