Differential Forms Cycles and Hodge Theory on Complex Analytic Spaces. - On Exact Solutions of Linear PDEs. - Necessary Conditions for Hyperbolic Systems. - Monodromy of the Ramified Cauchy Problem. - Nonlinear Stability of an Expanding Universe with S1Isometry Group. - On the Cauchy Problem for a Weakly Hyperbolic Operator: An Intermediate Case between Effective Hyperbolicy and Levi Condition. - Symplectic Path Intersections and the Leray Index. - A Global CauchyKowalewski Theorem in Some Gevrey Classes. - Sub-Riemannian Geometry and Subelliptic PDEs. - On the Analytic Continuation of the Solution of the Cauchy Problem. - Strong Gevrey Solvability for a System of Linear Partial Differential Equations. - Spherically Symmetric Solutions of the Compressible Euler Equation. - Hyperbolic Cauchy Problem Well Posed in the Class of Gevrey. - Absence of Eigenvalues of Dirac Type Operators. - The Behaviors of Singular Solutions of Partial Differential Equations in Some Class in the Complex Domain. - Systèmes Uniformément Diagonalisables Dimension Réduite et Symétrie II. - On Hypoellipticity of the Operator exp$$\left[ { - {{\left| {{x_1}} \right|}^{ - \delta }}} \right]D_1^2 + x_1^4D_2^2 + 1$$. Language: English