Behavior of solutions of the Neumann problem for the Poisson equation near straight edges

DOI10.4171/ZAA/1535zbMath1319.35012OpenAlexW2089632258MaRDI QIDQ2344903

Jürgen Rossmann

Publication date: 19 May 2015

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1535

zbMATH Keywords

Poisson equationGreen functionNeumann problemedge singularities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08)

Cites Work

• Unnamed Item
• On asymptotics of the Green function and Poisson kernels of a mixed parabolic problem in a cone. I
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• On asymptotics of the Green function and Poisson kernels of a mixed parabolic problem in a cone. II
• General edge asymptotics of solutions of second-order elliptic boundary value problems II

This page was built for publication: Behavior of solutions of the Neumann problem for the Poisson equation near straight edges