On some orthogonal systems of functions
A. C. Zaanen (1940)
Compositio Mathematica
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A. C. Zaanen (1940)
Compositio Mathematica
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Yueh, Wen-Chyuan (2005)
Applied Mathematics E-Notes [electronic only]
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Lažetić, Nebojša L. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Y. Sagher (1971)
Studia Mathematica
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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...
Nicola Garofalo, Zhongwei Shen (1994)
Annales de l'institut Fourier
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We establish a Carleman type inequality for the subelliptic operator in , , where , . As a consequence, we show that has the strong unique continuation property at points of the degeneracy manifold if the potential is locally in certain spaces.
Ren, Hongshan, Li, Hongyan (2002)
Applied Mathematics E-Notes [electronic only]
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Jovan D. Kečkić, Vlajko Lj. Kocić (1977)
Publications de l'Institut Mathématique
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Milan Práger (1998)
Applications of Mathematics
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A boundary value problem for the Laplace equation with Dirichlet and Neumann boundary conditions on an equilateral triangle is transformed to a problem of the same type on a rectangle. This enables us to use, e.g., the cyclic reduction method for computing the numerical solution of the problem. By the same transformation, explicit formulae for all eigenvalues and all eigenfunctions of the corresponding operator are obtained.