English

Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems

Analysis of PDEs 2008-12-17 v1 Mathematical Physics math.MP

Abstract

This paper deals with the Klein-Gordon-Maxwell system in a bounded spatial domain. We study the existence of solutions having a specific form, namely standing waves in equilibrium with a purely electrostatic field. We prescribe Dirichlet boundary conditions on the matter field, and either Dirichlet or Neumann boundary conditions on the electric potential.

Keywords

Cite

@article{arxiv.0812.3009,
  title  = {Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems},
  author = {Pietro d'Avenia and Lorenzo Pisani and Gaetano Siciliano},
  journal= {arXiv preprint arXiv:0812.3009},
  year   = {2008}
}

Comments

14 pages

R2 v1 2026-06-21T11:52:34.247Z