A local Hopf lemma and unique continuation for the Helmholtz equation

DOI10.1080/03605302.2018.1446165zbMath1394.35140OpenAlexW2798073168MaRDI QIDQ5745183

J. Hounie, Shiferaw Berhanu

Publication date: 5 June 2018

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2018.1446165

zbMATH Keywords

unique continuationHelmholtz equationHopf lemma

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary behavior of harmonic functions in higher dimensions (31B25) Continuation and prolongation of solutions to PDEs (35B60) Analytic continuation of functions of one complex variable (30B40)

Related Items (2)

A local Hopf lemma for the Kohn Laplacian on the Heisenberg group ⋮ A local Hopf lemma and unique continuation for elliptic equations

Cites Work

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• A \(C^{\infty}\) Schwarz reflection principle in one and several complex variables
• Harmonic functions satisfying weighted sign conditions on the boundary
• A weak Hopf lemma for holomorphic mappings
• Unique continuation and regularity at the boundary for holomorphic functions
• A unique continuation problem for holomorphic mappings
• Unique continuation and a schwarz reflection principle for analytic sets
• Reflection and uniqueness theorems for harmonic functions
• A hopf lemma for holomorphic functions and applications
• The approximation theorem of Baouendi and Treves
• Finite Order Vanishing of Boundary Values of Holomorphic Mappings

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