Global existence of semilinear system of Klein-Gordon equations in anti-de Sitter spacetime

Yazlcl M.

DEMONSTRATIO MATHEMATICA, vol.58, no.1, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 58 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1515/dema-2025-0136
  • Journal Name: DEMONSTRATIO MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Linguistic Bibliography, MathSciNet, zbMATH, Directory of Open Access Journals
  • Keywords: anti-de Sitter spacetime, global existence, semilinear Klein-Gordon system
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this article, we consider the initial value problem for a system of Klein-Gordon equations in anti-de Sitter spacetime. We assume that the mass matrix is diagonalizable with positive eigenvalues. Under the assumption for the small initial data, we prove the global existence of solutions to the initial value problem. The existence result is derived based on the assumption of power-type nonlinearity.