A remark on the domain of existence of the solution of the Cauchy problem for the differential operator with entire functions coefficients

DOI10.2748/TMJ/1178225018zbMath0912.35034OpenAlexW1968967027MaRDI QIDQ1127024

Yûsaku Hamada

Publication date: 25 October 1998

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225018

zbMATH Keywords

singularitiesdomain of holomorphyprolongation of solutions

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Continuation and prolongation of solutions to PDEs (35B60) Initial value problems for linear higher-order PDEs (35G10)

Related Items (3)

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 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

Cites Work

• Prolongements analytiques de la solution du problème de Cauchy linéaire
• The Cauchy problem in spaces of entire functions
• On the local and global non-characteristic Cauchy problem when the solutions are holomorphic functions or analytic functionals in the space variables
• SUPER-LAX OPERATOR EMBEDDED IN SELF-DUAL SUPERSYMMETRIC YANG-MILLS THEORY
• Uniformisation de la solution du problème linéaire analytique de Cauchy près de la variété qui porte les données de Cauchy. (Problème de Cauchy. I)
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