The Cauchy problem in spaces of entire functions

zbMath0858.35001MaRDI QIDQ1920034

Patrice Pongérard, Claude Wagschal

Publication date: 23 March 1997

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

zbMATH Keywords

fixed-point theorem

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Cauchy-Kovalevskaya theorems (35A10) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (14)

On the analytic continuation of the solution of the Cauchy problem for certain differential operators of principal part with polynomial coefficients ⋮ A remark on the domain of existence of the solution of the Cauchy problem for the differential operator with entire functions coefficients ⋮ Non abelian ramification ⋮ Global solutions of a linear Cauchy problem. ⋮ The analytic continuation of the solution to the Cauchy problem for a certain differential operator with polynomial coefficients. II ⋮ The analytic continuation of the solution to the Cauchy problem for a certain differential operator with polynomial coefficients. III ⋮ Global in time solutions of evolution equations in scales of Banach function spaces in \(\mathbb R^n\) ⋮ Nonlinear Fuchs operators ⋮ On a global Cauchy-Kowalewski-Nagumo theorem in projective Gevrey space. ⋮ On the analytic continuation of the solution of the Cauchy problem with polar singularities in the Cauchy data ⋮ A remark on the Cauchy problem for the differential operator of principal type with polynomial coefficients ⋮ A remark on the Cauchy problem for the differntial operator of principal type with polynomial coefficients. II ⋮ On a global Cauchy-Kowalewski-Nagumo theorem ⋮ Computability and Beltrami fields in Euclidean space

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