Displaying similar documents to “Estimates for derivatives and integrals of eigenfunctions and associated functions of nonselfadjoint Sturm-Liouville operator with discontinuous coefficients. I.”

Carleman estimates for a subelliptic operator and unique continuation

Nicola Garofalo, Zhongwei Shen (1994)

Annales de l'institut Fourier

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We establish a Carleman type inequality for the subelliptic operator = Δ z + | x | 2 t 2 in n + 1 , n 2 , where z n , t . As a consequence, we show that - + V has the strong unique continuation property at points of the degeneracy manifold { ( 0 , t ) n + 1 | t } if the potential V is locally in certain L p spaces.

The length of a lemmiscate.

Elia, M., Angeli, M.T.Galizia (1984)

Publications de l'Institut Mathématique. Nouvelle Série

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Controllability of a slowly rotating Timoshenko beam

Martin Gugat (2001)

ESAIM: Control, Optimisation and Calculus of Variations

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Consider a Timoshenko beam that is clamped to an axis perpendicular to the axis of the beam. We study the problem to move the beam from a given initial state to a position of rest, where the movement is controlled by the angular acceleration of the axis to which the beam is clamped. We show that this problem of controllability is solvable if the time of rotation is long enough and a certain parameter that describes the material of the beam is a rational number that has an even numerator...