Jean Leray '99 Conference Proceedings

Preface. Introduction. Acknowledgement. I: Hyperbolic systems and equations. Caractère holonôme d'une solution élémentaire; L. Boutet de Monvel. Necessary conditions for hyperbolicity of first order systems; A. Bove, T. Nishitani. On the Cauchy problem for hyperbolic operators with non-regular coefficients; F. Colombini, et al. Multiple points of the characteristic manifold of a diagonalizable operator; H. Deliquié, J. Vaillant. Large temps de vie des solutions d'une problème de Caucht non linéaire; D. Gourdin, M. Mechab. Un remarque sur une prolongement analytique de la solution du problème de Cauchy; Y. Hamada. Conormality and lagrangian properties along diffractive rays; P. Laubin. Caractèrisation des opérateurs différentiels hyperboliques; Y. Ohya. A dependence domain for a class of micro-differential equations with involutive double characteristics; Y. Okada, N. Tose. Ramification non abélienne; C. Wagschal. II: Symplectic mechanics and geometry. Extension du calcul différentiel et application à la théorie des groupes de Lie en dimension infinie; P. Dazord. The cohomological meaning of Maslov's lagrangian path intersection index; M.de Gosson, S.de Gosson. A Kähler structure on the punctured cotangent bundle of the cayley projective plane; K. Furutani. On mechanical systems with a Lie group as configuration space; C.-M. Marle. Dirac fields on asymptotically simple space-times; J.-P. Nicolas. An embedding result for some general symbol classes in the Weyl calculus; J. Toft. The lagrangian in symplectic mechanics; G.M. Tuynman. Geometry of solution spaces of spaces of Yang Mills equations; J. Sniatycki. III: Sheaves and spectral sequences. La th Bendiffalah. IV: Elliptic operators: Index theory. Le noyau de la chaleur des opérateurs sous-elliptiques des groupes d'Heisenberg; R. Beals, et al. The geometry of Cauchy data spaces; B. Booss-Bavbek, et al. On theCauchy problem for Kirchhoff equations of p-laplacian type; K. Kajitani. A remark on surgery in index