A Riemann–Hilbert Approach to the Laplac
✍
A.S. Fokas; A.A. Kapaev
📂
Article
📅
2000
🏛
Elsevier Science
🌐
English
⚖ 207 KB
Let q x, y satisfy the Laplace equation in an arbitrary convex polygon. By performing the spectral analysis of the equation y ik s q y iq , z s x q iy, z x y Ž . which involves solving a scalar Riemann᎐Hilbert RH problem, we construct an Ž . integral representation in the complex k-plane of q x, y i