Analyticity of thermo-elastic semigroups with coupled hinged/Neumann boundary conditions.
Factor spaces and implications of Kirchhoff equations with clamped boundary conditions.
Linear independence of boundary traces of eigenfunctions of elliptic and Stokes operators and applications
This paper is divided into two parts and focuses on the linear independence of boundary traces of eigenfunctions of boundary value problems. Part I deals with second-order elliptic operators, and Part II with Stokes (and Oseen) operators. Part I: Let be an eigenvalue of a second-order elliptic operator defined on an open, sufficiently smooth, bounded domain Ω in ℝⁿ, with Neumann homogeneous boundary conditions on Γ = tial Ω. Let be the corresponding linearly independent (normalized) eigenfunctions...
Regularity of wave and plate equations with interior point control
The regularity of solutions of various dynamical equations (wave, Euler-Bernoulli, Kirchhoff, Schrödinger) in a bounded open domain in , subject to the action of a point control at some point of , is studied. Detailed proofs of the results are contained in the references [8-10].
Sharp regularity of the second time derivative w_tt of solutions to Kirchhoff equations with clamped Boundary Conditions
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 boundary...
Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation
Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions
Analyticity of thermo-elastic semigroups with free boundary conditions
Exact null controllability of structurally damped and thermo-elastic parabolic models
We show exact null-controllability for two models of non-classical, parabolic partial differential equations with distributed control: (i) second-order structurally damped equations, except for a limit case, where exact null controllability fails; and (ii) thermo-elastic equations with hinged boundary conditions. In both cases, the problem is solved by duality.
Sharp regularity theory for second order hyperbolic equations of Neumann type
This note provides sharp regularity results for general, time-independent, second order, hyperbolic equations with non-homogeneous data of Neumann type.
Sharp regularity theory for second order hyperbolic equations of Neumann type
This note provides sharp regularity results for general, time-independent, second order, hyperbolic equations with non-homogeneous data of Neumann type.
New classes of analytic and Gevrey semigroups and applications
We consider the operator on a complex Hilbert space, where is positive self-adjoint and is self-adjoint, and where, moreover, « is comparable to , », in a technical sense. Two applications are given.
Uniform exponential energy decay of Euler-Bernoulli equations by suitable boundary feedback operators
We study the uniform stabilization problem for the Euler-Bernoulli equation defined on a smooth bounded domain of any dimension with feedback dissipative operators in various boundary conditions.
Uniform exponential energy decay of Euler-Bernoulli equations by suitable boundary feedback operators
We study the uniform stabilization problem for the Euler-Bernoulli equation defined on a smooth bounded domain of any dimension with feedback dissipative operators in various boundary conditions.
Page 1