An elliptic adaptation of ideas of Carleman and Domar from complex analysis related to Levinson’s loglog theorem

DOI10.1063/5.0044798zbMath1468.35079arXiv2012.07169OpenAlexW3173144594MaRDI QIDQ5000188

Alexander Logunov, H. Papazov

Publication date: 9 July 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.07169

zbMATH Keywords

linear elliptic partial differential equationsLevinson's loglog theoremthree ball inequality

Mathematics Subject Classification ID

Elliptic equations and elliptic systems (35J99)

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Cites Work

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• On the higher-dimensional harmonic analog of the Levinson \(\log\log\) theorem
• On the existence of a largest subharmonic minorant of a given function
• Classical and new loglog-theorems
• Nodal sets of eigenfunctions on Riemannian manifolds
• A quasi maximum principle for holomorphic solutions of partial differential equations in \(\mathbb{C}^ n\)
• Quantitative uniqueness for second-order elliptic operators
• Boundary behaviour of universal Taylor series
• Analytic continuation across a linear boundary
• Nonunique continuation for uniformly parabolic and elliptic equations in selfadjoint divergence form with Hölder continuous coefficients
• Uniform Boundedness in Families Related to Subharmonic Functions
• Unique continuation for elliptic operators: A geometric-variational approach
• Linear Holomorphic Partial Differential Equations and Classical Potential Theory
• A continuous dependence result in the analytic continuation problem
• A THREE SPHERES THEOREM FOR AN ELLIPTIC EQUATION OF HIGH ORDER
• On majorants of subharmonic and analytic functions