A quasi maximum principle for holomorphic solutions of partial differential equations in \(\mathbb{C}^ n\)

DOI10.1006/jfan.1996.3026zbMath0884.35019OpenAlexW2067346658MaRDI QIDQ1355458

Peter Ebenfelt, Harold S. Shapiro

Publication date: 23 June 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3026

zbMATH Keywords

quasi balayage principle

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) General theory of PDEs and systems of PDEs with constant coefficients (35E20)

Related Items (5)

Cauchy, Goursat and Dirichlet problems for holomorphic partial differential equations ⋮ Polynomial modules and a generalized cauchy problem for systems of holomorphic partial differential operators ⋮ Application of functional calculus to complex Cauchy problems ⋮ Real Bargmann spaces, Fischer decompositions, and sets of uniqueness for polyharmonic functions ⋮ An elliptic adaptation of ideas of Carleman and Domar from complex analysis related to Levinson’s loglog theorem

Cites Work

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• The heat equation and analytic continuation: Ivar Fredholm's first paper
• The mixed Cauchy problem for holomorphic partial differential operators
• Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
• An Algebraic Theorem of E. Fischer, and the Holomorphic Goursat Problem
• Dirichlet's Problem When the Data is an Entire Function
• Equivalence of Cauchy Problems for Entire and Exponential Type Functions

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