Extension of Solutions to Holomorphic Partial Differential Equations

Jonathan Armel; Peter Ebenfelt

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arXiv · 1302.1227

Extension of Solutions to Holomorphic Partial Differential Equations

Jonathan Armel·Peter Ebenfelt

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Abstract

Given a strictly pseudoconvex domain G and a linear partial differential operator P with holomorphic coefficients, we derive sufficient conditions for the existence of a solution to Pu = 0 which is holomorphic in G near a point p in the boundary or G, but cannot be extended holomorphically across p.

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Jonathan Armel, Peter Ebenfelt. 2013-02-05. Extension of Solutions to Holomorphic Partial Differential Equations. https://arxiv.org/abs/1302.1227

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