Prolongements analytiques de la solution du problème de Cauchy linéaire

zbMath0581.32017MaRDI QIDQ1068257

Akira Takeuchi, Yûsaku Hamada

Publication date: 1985

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

zbMATH Keywords

Cauchy problemRiemann surfaceanalytic continuationCauchy-Kowalewski theorem

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Analytic sheaves and cohomology groups (32C35) Existence theories for optimal control problems involving ordinary differential equations (49J15) Cauchy-Kovalevskaya theorems (35A10) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items (8)

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 ⋮ On analytic continuation of solutions of linear partial differential equations ⋮ 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 ⋮ 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

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