Document Type

Article

Publication Date

2020

Abstract

We present a condition on the self-interaction term that guaranties the existence of the global in time solution of the Cauchy problem for the semilinear Klein-Gordon equation in the Friedmann-Lamaˆitre-Robertson-Walker model of the contracting universe. For the Klein- Gordon equation with the Higgs potential we give a lower estimate for the lifespan of solution.

Comments

Original published version available at https://doi.org/10.1007/s00030-020-00632-0

Publication Title

Nonlinear Differential Equations and Applications NoDEA

DOI

10.1007/s00030-020-00632-0

Included in

Mathematics Commons

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