On the completeness of products of solutions to the Helmholtz equation

DOI10.3103/S1066369X20060055zbMath1459.35097OpenAlexW3048142032MaRDI QIDQ2225861

Yanyan Li

Publication date: 11 February 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x20060055

zbMATH Keywords

fundamental solutionsHelmholtz equationregular solutionscompleteness in \(L^2\)

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• On the completeness of products of harmonic functions and the uniqueness of the solution of the inverse acoustic sounding problem
• Recent progress in the Calderon problem with partial data
• Inverse problems for partial differential equations

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