Real Analysis Exchange

Uniqueness Properties of Harmonic Functions

Steven G. Krantz

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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

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

First available in Project Euclid: 27 June 2018

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

harmonic function zero set real analytic uniqueness


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

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