Graded nilpotent Lie algebra of rank 3 and inverse of a differential operator. (Algèbre de Lie nilpotente graduée de rang 3 et inverse d'un opérateur différentiel.)
Gouleau, Maxime (2002)
Journal of Lie Theory
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Gouleau, Maxime (2002)
Journal of Lie Theory
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Robert Cauty (1992)
Fundamenta Mathematicae
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Let D (resp. D*) be the subspace of C = C([0,1], R) consisting of differentiable functions (resp. of functions differentiable at the one point at least). We give topological characterizations of the pairs (C, D) and (C, D*) and use them to give some examples of spaces homeomorphic to CDor to CD*.
Amar Heminna (2001)
Revista Matemática Complutense
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In this work, we examine the exact controllability of the solution of a linear elasticity system, with evolutive Ventcel's conditions, (see [3]), in a bounded domain of R. We use the Hilbert uniqueness methode, (H.U.M), of J.L.Lions, (see [9]); some multipliers are defined on the boundary; the curvature tensor (see [6]), appears when computing some boundary integrals. This work can be inserted in the framework of the study of the exact controllability and stabilisation of various problems...
Mary Teuw Niane, Abdoulaye Sene (2002)
Revista Matemática Complutense
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We define, for the trace of solution of vibrating plates equation, norms with initial conditions in no regular spaces. Then, we give the corresponding exact controllability results.
Roland Uhl (1995)
Annales Polonici Mathematici
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Résumé. On présente une fonction continue f: c₀ → c₀ qui satisfait à une condition lipschitzienne par rapport à la mesure de non-compacité de Hausdorff (ou Kuratowski), mais telle que f n'est pas la somme d'une fonction dissipative et d'une fonction compacte. Cet exemple attache de l'importance au théorème d'existence de Sabina Schmidt (1989) pour des équations différentielles dans les espaces de Banach.
Ofman, Salomon (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Clozel, L., Ullmo, E. (2007)
Documenta Mathematica
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Azzouz Awane, Mohamed Belam, Sadik Fikri, Mohammed Lahmouz, Bouchra Naanani (2002)
Revista Matemática Complutense
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We study some properties of the k-symplectic Hamiltonian systems in analogy with the well-known classical Hamiltonian systems. The integrability of k-symplectic Hamiltonian systems and the relationships with the Nambu's statistical mechanics are given.
Han, G.-N., Randrianarivony, A., Zeng, J. (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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Thomas Alazard, Rémi Carles (2006)
Journées Équations aux dérivées partielles
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Robert Cauty (1991)
Fundamenta Mathematicae
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We give an example in the Hilbert space of two subsets which are absorbing for the class of topologically complete spaces, but for which there exists no homeomorphism of onto itself mapping one of these subsets onto the other.