Systemes d'équations aux dérivées partielles à caractéristiques multiples: problème de Cauchy ramifie, hyperbolicite partielle

zbMath0307.35056MaRDI QIDQ1218099

Yûsaku Hamada, Jean Leray, Claude Wagschal

Publication date: 1976

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (45)

The behaviour of solutions with singularities on a characteristic surface to linear partial differential equations in the complex domains ⋮ Local solutions for holomorphic Fuchsian operators in several variables ⋮ Existence of solutions with asymptotic expansion of linear partial differential equations in the complex domain ⋮ On the branching of singularities in complex domains ⋮ Holomorphic Green-Riemann functions. I: Constant coefficient operators ⋮ Un domaine d'holomorphie de la solution d'un problème de Cauchy homogène ⋮ Unnamed Item ⋮ Sur l’existence d’une solution ramifiée pour des équations de Fuchs à caractéristique simple ⋮ Le problème de Cauchy ramifié ⋮ The Cauchy problem with logarithmic ramifications for \({\mathcal D}\)-modules ⋮ Non abelian ramification ⋮ Unnamed Item ⋮ On complex singularity analysis for linear partial \(q\)-difference-differential equations using nonlinear differential equations ⋮ On the parametric Stokes phenomenon for solutions of singularly perturbed linear partial differential equations ⋮ Partial hyperbolicity and partial Gevrey classes ⋮ On a representation of the solution of the Cauchy problem with singular initial data ⋮ On the monodromy of the ramified Cauchy problem ⋮ On the solutions of the Cauchy problem for a class of partial differential equations with double characteristic at a point ⋮ Construction de solutions singulières pour des équations aux dérivées partielles non linéaires ⋮ The behaviour near the characteristic surface of singular solutions of linear partial differential equations in the complex domain ⋮ Strain-hardening extrusion. II: Analysis of slip-line fields based on experimental flow patterns ⋮ An integral representation of singular solutions and removable singularities of solutions to linear partial differential equations ⋮ The analytic continuation of the solution to the Cauchy problem for a certain differential operator with polynomial coefficients. III ⋮ Propagation of singularities in the ramified Cauchy problem for a class of operators with non-involutive multiple characteristics ⋮ Inverse image for the functor \(\mu\text{hom}\) ⋮ An inverse image theorem for sheaves with applications to the Cauchy problem ⋮ A singular Cauchy problem for the Euler-Poisson-Darboux equation ⋮ Construction of ramified solutions around two simple characteristic hypersurfaces for quasilinear operators ⋮ Ramified solutions of slow growth to certain quasilinear Fuchs equations ⋮ Characteristic Cauchy problems and solutions of formal power series ⋮ Singularities of solutions of the Fuchsian Cauchy problem with ramified data ⋮ Asymptotic expansion of singular solutions and the characteristic polygon of linear partial differential equations in the complex domain ⋮ On complex singularity analysis for some linear partial differential equations in \(\mathbb C^3\) ⋮ Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe ⋮ Irregularity of characteristic elements and hyperbolicity ⋮ The singular Cauchy problem for systems whose characteristic roots are non uniform multiple ⋮ Micro-hyperbolic systems ⋮ Unnamed Item ⋮ On the analytic continuation of the solution of the Cauchy problem with polar singularities in the Cauchy data ⋮ Characteristic indices and subcharacteristic indices of surfaces for linear partial differential operators ⋮ Explicit formulation of the solution of Hamada-Leray-Wagschal's theorem ⋮ On the singularities of the solution to the Cauchy problem with singular data in the complex domain ⋮ Le problème de Cauchy ramifié linéaire pour des données à singularités algébriques ⋮ Monodromy of the ramified Cauchy problem ⋮ Prolongements du theoreme de Cauchy-Kowalewski

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