Control-theoretic properties of structural acoustic models with thermal effects, II. Trace regularity results

• Autorzy: Francesca Bucci
• Języki publikacji: EN

Abstrakty

EN

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], which ensures well-posedness of the corresponding differential Riccati equations. The proof takes full advantage of the exceptional boundary regularity of the mechanical component of the clamped thermoelastic system as well as of the sharp trace theory pertaining to wave equations with Neumann boundary data.

Kategorie tematyczne

• 93C20: Systems governed by partial differential equations
• 35B65: Smoothness and regularity of solutions
• 49J20: Optimal control problems involving partial differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2008
• Tom: 35
• Numer: 3
• Strony: 305-321

Daty

wydano

2008

Twórcy

autor

Francesca Bucci

• Dipartimento di Matematica Applicata, Università degli Studi di Firenze, Via S. Marta 3, I-50139 Firenze, Italy

Identyfikatory

DOI

10.4064/am35-3-4