Extension of Solutions to Holomorphic Partial Differential Equations

DOI10.1080/03605302.2014.881854zbMath1304.35162arXiv1302.1227OpenAlexW2087416979MaRDI QIDQ2926044

Peter Ebenfelt, Jonathan Armel

Publication date: 29 October 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1227

zbMATH Keywords

strictly pseudoconvex domainprolongation

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Analyticity in context of PDEs (35A20) Continuation and prolongation of solutions to PDEs (35B60) Linear higher-order PDEs (35G05)

Cites Work

• Unnamed Item
• Bicharacteristical convexity and the semi-global existence of holomorphic solutions of linear differential equations with holomorphic coefficients
• Holomorphic continuation of solutions of partial differential equations across the multiple characteristic surface
• On the analytic continuation of holomorphic solutions of partial differential equations
• On the prolongation of local holomorphic solutions of partial differential equations
• On the boundary value problem for elliptic system of linear differential equations, I
• Extending Solutions of Holomorphic Partial Differential Equations Across Real Hypersurfaces
• On local solvability of linear partial differential equations part I: Necessary conditions
• On local solvability of linear partial differential equations—part II. Sufficient conditions

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