On Helmholtz’s decomposition theorem and Poisson’s equation with an infinite domain

DOI10.1090/qam/1205933zbMath0786.31002OpenAlexW2493990998MaRDI QIDQ3134723

Tran-Cong Ton

Publication date: 13 September 1993

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1205933

zbMATH Keywords

curl-free vectordivergence-free vector

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Stability theory for smooth dynamical systems (37C75) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (3)

Otto Blumenthal (1876--1944) in retrospect ⋮ Orthogonal decompositions and bases for three-dimensional vector fields ⋮ Helmholtz decomposition and potential functions for \(n\)-dimensional analytic vector fields

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