About solutions of Poisson's equation with transition condition in non-smooth domains

DOI10.4171/ZAA/1354zbMath1157.35025MaRDI QIDQ936159

Anja Schlömerkemper

Publication date: 13 August 2008

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

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=27&iss=3&rank=1

zbMATH Keywords

magnetostaticsderivatives of single layer potentialsintegral representations of solutionsPoisson equation with transition conditionregularization of potentials

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Electro- and magnetostatics (78A30)

Related Items (3)

Discrete-to-continuum limit of magnetic forces: Dependence on the distance between bodies ⋮ A Nash-Hörmander iteration and boundary elements for the Molodensky problem ⋮ Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. I: Analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. I: Analysis
• Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. II: Numerical simulation
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
• Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
• Elliptic partial differential equations of second order
• Mathematical derivation of the continuum limit of the magnetic force between two parts of a rigid crystalline material
• Transmission problems and spectral theory for singular integral operators on Lipschitz domains
• Singularities of electromagnetic fields in polyhedral domains
• Estimates for elliptic systems from composite material
• TRANSMISSION PROBLEMS FOR THE LAPLACE AND ELASTICITY OPERATORS: REGULARITY AND BOUNDARY INTEGRAL FORMULATION
• Geometry and stability of bubbles with gravity
• Minimal regularity of the solutions of some transmission problems

This page was built for publication: About solutions of Poisson's equation with transition condition in non-smooth domains