Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems

2008/12/16 by d'Avenia, Pietro, Pisani, Lorenzo, Siciliano, Gaetano
#35J50 #35J55 #35J65 #35Q40 #35Q60 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0812.3009

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.

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