Problèmes de Cauchy pour des opérateurs singuliers

DOI10.24033/bsmf.1781zbMath0303.35021OpenAlexW2583826353MaRDI QIDQ4059277

Serge Alinhac

Publication date: 1974

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1974__102__289_0

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) Initial value problems for linear higher-order PDEs (35G10) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (9)

Construction de solutions nulles pour des opérateurs non Fuchsiens. (Construction of zero solutions of non-Fuchsian operators) ⋮ Reduction to the first order systems of the Kowalevskian systems in the sense of Volevic ⋮ Uniqueness in the Cauchy problem for characteristic operators of Fuchsian type ⋮ On \(q\)-asymptotics for linear \(q\)-difference-differential equations with Fuchsian and irregular singularities ⋮ On the summability of formal solutions for doubly singular nonlinear partial differential equations ⋮ On complex singularity analysis for some linear partial differential equations in \(\mathbb C^3\) ⋮ Singular evolution equations ⋮ The structure of local solutions of partial differential equations of the Fuchsian type ⋮ Unique continuation theorems for solutions of partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic solutions of oscillatory initial value problems
• Some remarks on the Cauchy problem
• Lectures on Cauchy problem. Notes by M. K. Venkatesha Murthy and B. V. Singbal
• The correctness of the Cauchy problem
• Problème de Cauchy oscillatoire pour un opérateur différentiel à caractéristiques multiples; lien avec l'hyperbolicité. (An oscillatory Cauchy problem for a differential operator with multiple characteristics connection with hyperbolicity)
• Cauchy problems with characteristic initial hypersurface

This page was built for publication: Problèmes de Cauchy pour des opérateurs singuliers