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A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations

✍ Scribed by Espen R. Jakobsen; Kenneth H. Karlsen

Publisher
SP Birkhäuser Verlag Basel
Year
2006
Tongue
English
Weight
277 KB
Volume
13
Category
Article
ISSN
1021-9722

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A Quasi Maximum Principle for Holomorphi
A Quasi Maximum Principle for Holomorphic Solutions of Partial Differential Equations in Cn
✍ Peter Ebenfelt; Harold S. Shapiro 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 478 KB

We present a quasi maximum principle stating roughly that holomorphic solutions of a given partial differential equation with constant coefficents in C n , achieve essentially their maximal growth on a certain algebraic hypersurface 1 related to the operator. We prove it in the case where P is homo