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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Displaying similar documents to “Regularity and optimal control of quasicoupled and coupled heating processes”
Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions
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Triggiani, R. (1996)
Abstract and Applied Analysis
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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],...
Factor spaces and implications of Kirchhoff equations with clamped boundary conditions.
Lasiecka, Irena, Triggiani, Roberto (2001)
Abstract and Applied Analysis
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On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. III
Jiří Jarušek (1992)
Applications of Mathematics
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In this part we weaken the sufficient condition to obtain the stresses continuous and bounded in the threedimensional case, and we treat a certain coupled system.
Global regularity of the solutions to the capillarity problem
Claus Gerhardt (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Higher regularity for nonlinear oblique derivative problems in Lipschitz domains
Gary M. Lieberman (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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There is a long history of studying nonlinear boundary value problems for elliptic differential equations in a domain with sufficiently smooth boundary. In this paper, we show that the gradient of the solution of such a problem is continuous when a directional derivative is prescribed on the boundary of a Lipschitz domain for a large class of nonlinear equations under weak conditions on the data of the problem. The class of equations includes linear equations with fairly rough coefficients...