On analytic continuation of solutions of linear partial differential equations

DOI10.1007/S10450-006-9684-7zbMath1114.35039OpenAlexW1987546856MaRDI QIDQ882656

Stéphane Malek

Publication date: 24 May 2007

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10450-006-9684-7

zbMATH Keywords

Borel summabilitypower series solutionlocal holomorphic solutions

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Cauchy-Kovalevskaya theorems (35A10)

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Cites Work

• Unnamed Item
• On the summability of formal solutions of linear partial differential equations
• Prolongements analytiques de la solution du problème de Cauchy linéaire
• Global and local goursat problems in a class of holomorphic or partially holomorphic functions
• Global solutions of a linear Cauchy problem.
• Formal power series and linear systems of meromorphic ordinary differential equations
• Nonlinear evolution PDEs in \(\mathbb R^+ \times \mathbb C^d\): existence and uniqueness of solutions, asymptotic and Borel summability properties
• Existence et prolongement des solutions holomorphes des équations aux dérivées partielles. (Existence and prolongation of the holomorphic solutions of partial differential equations)
• On a domain of existence and an analytic continuation of solutions of Goursat problems

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