The Boundary Value Problem for a Static 2D Klein--Gordon Equation in the Infinite Strip and in the Half-Plane
Analysis of PDEs
2015-04-10 v1 Mathematical Physics
math.MP
Abstract
We provide explicit formulas for the Green function of an elliptic PDE in the infinite strip and the half-plane. They are expressed in elementary and special functions. Proofs of uniqueness and existence are also given.
Keywords
Cite
@article{arxiv.1504.02428,
title = {The Boundary Value Problem for a Static 2D Klein--Gordon Equation in the Infinite Strip and in the Half-Plane},
author = {Dmitry Muravey},
journal= {arXiv preprint arXiv:1504.02428},
year = {2015}
}