A limiting absorption principle for the Helmholtz equation with variable coefficients
A limiting absorption principle for the Helmholtz equation with variable coefficients is a scholarly work, published in 2018 in ''Journal of Spectral Theory''. The main subjects of the publication include resolvent, mathematical analysis, eigenvectors and eigenvalues, Λ, inverse problem, Helmholtz equation, spectral theory, operon, variable, mathematics, boundary value problem, limiter, and perturbation. We prove a limiting absorption principle for a generalized Helmholtz equation on an exterior domain with Dirichlet boundary conditions (L+\lambda)v=f, \quad \lambda\in \mathbb{R} under a Sommerfeld radiation condition at infinity.