Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems

Details Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems

2008-12-16

arxiv.org/abs/0812.3009v1

Mathematics

Analysis of PDEs

14 pages

Scientific paper

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.

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