Singular Klein-Gordon equation on a bounded domain
Analysis of PDEs
2025-01-28 v2
Abstract
In this paper, we consider the wave equation for the Laplace operator with potential, initial data, and nonhomogeneous Dirichlet boundary condition. We establish a weak solution by using traces and extension domains. We also establish the existence, uniqueness and consistency of the very weak solution for the wave equation with singularities in the potential, initial data, source term, boundary and boundary condition.
Cite
@article{arxiv.2501.13460,
title = {Singular Klein-Gordon equation on a bounded domain},
author = {Michael Ruzhansky and Alibek Yeskermessuly},
journal= {arXiv preprint arXiv:2501.13460},
year = {2025}
}