Displaying similar documents to “Exact controllability of a pluridimensional coupled problem.”

Exact Neumann boundary controllability for second order hyperbolic equations

Weijiu Liu, Graham Williams (1998)

Colloquium Mathematicae

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Using HUM, we study the problem of exact controllability with Neumann boundary conditions for second order hyperbolic equations. We prove that these systems are exactly controllable for all initial states in L 2 ( Ω ) × ( H 1 ( Ω ) ) ' and we derive estimates for the control time T.

Controllability of analytic functions for a wave equation coupled with a beam.

Brice Allibert, Sorin Micu (1999)

Revista Matemática Iberoamericana

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We consider the controllability and observation problem for a simple model describing the interaction between a fluid and a beam. For this model, microlocal propagation of singularities proves that the space of controlled functions is smaller that the energy space. We use spectral properties and an explicit construction of biorthogonal sequences to show that analytic functions can be controlled within finite time. We also give an estimate for this time, related to the amount of analyticity...

Exact controllability of the radial solutions of the semilinear wave equation in R.

Luz de Teresa (1998)

Revista Matemática Complutense

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The exact internal controllability of the radial solutions of a semilinear heat equation in R is proved. The result applies for nonlinearities that are of an order smaller than |s| logp |s| at infinity for 1 ≤ p < 2. The method of the proof combines HUM and a fixed point technique.

Global controllability properties for the semilinear heat equation with superlinear term.

A. Y. Khapalov (1999)

Revista Matemática Complutense

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We discuss several global approximate controllability properties for the semilinear heat equation with superlinear reaction-convection term, governed in a bounded domain by locally distributed controls. First, based on the asymptotic analysis in vanishing time, we study the steering of the projections of its solution on any finite dimensional space spanned by the eigenfunctions for the truncated linear part. We show that, if the control-supporting area is properly chosen, then they...