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math.APAug 21, 2018
2
citations (OpenAlex)
authors
  • Yue Ma
arXiv abstractPDF
paper

Global solutions of non-linear wave-Klein-Gordon system in one space dimension

arXiv:1808.06850

Abstract

In the present work we give a generalization of the hyperboloidal foliation method which allows us to remove the restriction on support of initial data in R1+1. Then we will make an application on a model system.

43 pages

References in corpus (7)

  • An intrinsic hyperboloid approach for Einstein Klein-Gordon equations
  • Global solutions of non-linear wave-Klein-Gordon system in two space dimension: semi-linear interactions
  • Global solution for massive Maxwell-Klein-Gordon equations
  • On one-dimension semi-linear wave equations with null conditions
  • The global nonlinear stability of Minkowski spacetime for self-gravitating massive fields. A brief overview
  • Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions
  • Remarks on basic calculus in hyperboloidal foliation

Cited by in corpus (1)

  • Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions
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