The N U D problem
Abstract
Description
The hybrid spectral problem where the field satisfies Dirichlet conditions (D) on part of the boundary of the relevant domain and Neumann (N) on the remainder is discussed in simple terms. A conjecture for the C_1 coefficient is presented and the conformal determinant on a 2-disc, where the D and N regions are semi-circles, is derived. Comments on higher coefficients are made.
9 pages, JyTeX. References and comments added. Calculation corrected
9 pages, JyTeX. References and comments added. Calculation corrected