Construction of Green's functions and matrices for equations and systems of the elliptic type

DOI10.1016/0021-8928(78)90017-5zbMath0436.35003OpenAlexW1530040425MaRDI QIDQ1140784

I. M. Dolgova, Yuri A. Melnikov

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8928(78)90017-5

zbMATH Keywords

mixed boundary value problemsLaplace equationstheory of elasticityLame's systemclosed representationsGreen's functions and matrices

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99) Elastic materials (74B99) Other special methods applied to PDEs (35A25)

Related Items (6)

Matrices of Green's type for the potential equation on a cylindrical surface joined to a hemisphere ⋮ Efficient representations of Green's functions for some elliptic equations with piecewise-constant coefficients ⋮ Green's function, temperature in a convectively cooled sphere with arbitrarily located spherical heat sources ⋮ Green's matrix of the plane problem of elasticity theory for an orthotropic strip ⋮ The detachment of an elastic strip containing absolutely rigid inclusions from a support ⋮ Green's matrices and 2-D elasto-potentials for external boundary value problems

Cites Work

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