The Dirichlet Problem for the 2‐D Helmholtz Equation in a Multiply Connected Domain with Cuts
П. А. Крутицкий · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1997
Abstract The Dirichlet problem for the dissipative Helmholtz equation in a connected plane region with cuts is studied. The existence of a classical solution is proved by potential theory. The problem is reduced to a Fredholm equation of second kind, which is uniquely solvable.