The global existence of small self-interacting scalar field propagating in the contracting universe

Authors

Anahit Galstian, The University of Texas Rio Grande Valley
Karen Yagdjian, The University of Texas Rio Grande Valley

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

Recommended Citation

Galstian, A., Yagdjian, K. The global existence of small self-interacting scalar field propagating in the contracting universe. Nonlinear Differ. Equ. Appl. 27, 28 (2020). https://doi.org/10.1007/s00030-020-00632-0

Publication Title

Nonlinear Differential Equations and Applications NoDEA

DOI

10.1007/s00030-020-00632-0