Jean Leray '99 Conference Proceedings: The Karlskrona Conference in Honor of Jean Leray

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 theory of elliptic operators; V.-E. Nazaikinskii, B.-Y. Sternin. The &eegr; invariant and elliptic operators in subspaces; A. Savin, et al. Regularisation of mixed boundary problems; B.-W. Schulze, et al.
V: Mathematical Physics. Covariant method for solution of Cauchy's problem based on Lie group analysis and Leray's form; N. Ibragimov. Liouville forms, parallelisms and Cartan connections; P. Libermann. A Two-dimensional non-linear shell model of Koiter's type; P.-G. Ciarlet. A model of the process of thinking based on the dynamics of bundles of branches and sets of bundles on p-adic trees; A. Khrennikov. Global wave maps on black holes; Y. Choquet-Bruhat. Entanglement, parataxy, and cosmology; E. Binz, W. Schempp. Sur le contrôle des équations de Navier Stokes; J.-L. Lyons. Addresses.