Eigenvalues of the Laplacian for the third boundary value problem
Elsayed M. E. Zayed · ANZIAM Journal · 1987
Abstract The spectral function , where are the eigenvalues of the two-dimensional Laplacian, is studied for a variety of domains. The dependence of θ(t) on the connectivity of a domain and the impedance boundary conditions is analysed. Particular attention is given to a doubly-connected region together with the impedance boundary conditions on its boundaries.