Uniqueness Properties of Harmonic Functions

Steven G. Krantz

doi:10.14321/realanalexch.43.2.0445

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Home > Journals > Real Anal. Exchange > Volume 43 > Issue 2 > Article

2018 Uniqueness Properties of Harmonic Functions

Steven G. Krantz

Real Anal. Exchange 43(2): 445-450 (2018). DOI: 10.14321/realanalexch.43.2.0445

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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.

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Steven G. Krantz. "Uniqueness Properties of Harmonic Functions." Real Anal. Exchange 43 (2) 445 - 450, 2018. https://doi.org/10.14321/realanalexch.43.2.0445