David Natroshvili and Simon N. Chandler-Wilde

The Dirichlet Metaharmonic Green's Function for Unbounded Regions

abstract:
Uniform bounds are obtained for the Dirichlet Green's function for the Helmholtz equation and its derivatives in the case of a two-dimensional unbounded domain with an infinite rough boundary.

Mathematics Subject Classification: 31A10, 35B40, 35L05.

Key words and phrases: Green function, Dirichlet problem, Helmholtz equation.