Real Analysis Exchange

Uniqueness Properties of Harmonic Functions

Steven G. Krantz

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Abstract

We study the zero set of a harmonic function of several real variables. Using the theory of real analytic functions, we analyze such sets. We generalize these results to solutions of elliptic partial differential equations with constant coefficients.

Article information

Source
Real Anal. Exchange, Volume 43, Number 2 (2018), 445-450.

Dates
First available in Project Euclid: 27 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.rae/1530064972

Digital Object Identifier
doi:10.14321/realanalexch.43.2.0445

Mathematical Reviews number (MathSciNet)
MR3942589

Zentralblatt MATH identifier
06859103

Subjects
Primary: 32T35: Exhaustion functions
Secondary: 32T05: Domains of holomorphy 32T27: Geometric and analytic invariants on weakly pseudoconvex boundaries

Keywords
harmonic function zero set real analytic uniqueness

Citation

Krantz, Steven G. Uniqueness Properties of Harmonic Functions. Real Anal. Exchange 43 (2018), no. 2, 445--450. doi:10.14321/realanalexch.43.2.0445. https://projecteuclid.org/euclid.rae/1530064972


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