Neumann–Poincaré operator

The Neumann-Poincaré (NP) operator is a fundamental concept in potential theory and mathematical physics, particularly in the study of boundary value problems for the Laplace operator. It is primarily concerned with the behavior of harmonic functions and their boundary values. To understand the NP operator, consider a domain \(D\) in \(\mathbb{R}^n\) and its boundary \(\partial D\).