New proofs and generalizations of two theorems by Lednev for Goursat problems

DOI10.1007/BF01350660zbMath0159.14701MaRDI QIDQ2528029

Jan A. Persson

Publication date: 1968

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161744

zbMATH Keywords

partial differential equations

Related Items

The mixed Cauchy problem for holomorphic partial differential operators ⋮ A new higher order chain rule and Gevrey class ⋮ New proofs and generalisations of theorems of existence and uniqueness for the goursat problem ⋮ Microlocality of the cauchy problem in inhomogeneous gevrey classes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Local analytic continuation of holomorphic solutions of partial differential equations ⋮ The local Cauchy problem in \(R^2\) at a point where two characteristic curves have a common tangent ⋮ Exponential majorization applied to a non-linear Cauchy (Goursat) problem for functions of Gevrey nature ⋮ Exponential majorization and global Goursat problems ⋮ Uniqueness and Goursat problems ⋮ A note on Gevrey classes of functions connected with Goursat problems ⋮ A fixed point theorem and a theorem of Cauchy-Kowalewsky-Lednev for semilinear systems

Cites Work

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• Une variante de la méthode de majoration de Cauchy
• Exponential majorization and global Goursat problems
• Uniformisation et développement asymptotique de la solution du problème de Cauchy linéaire, à données holomorphes ; analogie avec la théorie des ondes asymptotiques et approchées (Problème de Cauchy I bis et VI.)
• A Boundary Problem for Analytic Linear Systems with Data on Intersecting Hyperplanes.
• A New Proof and Generalizations of the Cauchy-Kowalewski Theorem