Operators of minimal norm via modified Green's functions

DOI10.1017/S0308210500016231zbMath0515.35019OpenAlexW2313144481MaRDI QIDQ3661970

G. F. Roach, Ralph E. Kleinman

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500016231

zbMATH Keywords

Helmholtz equationexterior Dirichlet and Neumann problemsmodified Green's functionsoperators of minimal norm

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

On the condition number of integral equations in linear elasticity using the modified Green's function, Approximate solutions of problems involving normal operators, The numerical solution of the exterior Dirichlet problem for Helmholtz's equation via modified Green's functions approach., On the unique solvability of a class of modified boundary integral equations, A criterion of optimization of a modified Green's function in linear elasticity, An exterior problem in elastodynamics, The numerical solution of exterior Neumann problem for Helmholtz's equation via modified Green's functions approach, Modified Green's functions and the third boundary value problem for the Helmholtz equation, Multiple scattering and modified Green's functions

Cites Work

• Unnamed Item
• On modified Green functions in exterior problems for the Helmholtz equation
• On the exterior problems of acoustics: II
• INTEGRAL EQUATIONS FOR THE EXTERIOR ACOUSTIC PROBLEM