-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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Lasiecka, I., Triggiani, R. (2003)
Abstract and Applied Analysis
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Catherine Lebiedzik, Roberto Triggiani (2009)
Control and Cybernetics
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Triggiani, R. (1996)
Abstract and Applied Analysis
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Irena Lasiecka, Roberto Triggiani (2001)
International Journal of Applied Mathematics and Computer Science
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We consider mixed problems for Kirchhoff elastic and thermoelastic systems, subject to boundary control in the clamped Boundary Conditions B.C. (“clamped control”). If w denotes elastic displacement and θ temperature, we establish optimal regularity of {w, w_t, w_tt} in the elastic case, and of {w, w_t, w_tt, θ} in the thermoelastic case. Our results complement those presented in (Lagnese and Lions, 1988), where sharp (optimal) trace regularity results are obtained for the corresponding...
Jiří Jarušek (1996)
Applications of Mathematics
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Sufficient conditions for the stresses in the threedimensional linearized coupled thermoelastic system including viscoelasticity to be continuous and bounded are derived and optimization of heating processes described by quasicoupled or partially linearized coupled thermoelastic systems with constraints on stresses is treated. Due to the consideration of heating regimes being “as nonregular as possible” and because of the well-known lack of results concerning the classical regularity...
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],...
Irena Lasiecka, Roberto Triggiani (2008)
Control and Cybernetics
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Lasiecka, I., Triggiani, R. (2004)
Abstract and Applied Analysis
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Mikhail Belishev, Aleksandr Glasman (2000)
ESAIM: Control, Optimisation and Calculus of Variations
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