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

被引：2
|
作者：
Galstian, Anahit [1 ]
Yagdjian, Karen [1 ]
机构：
[1] Univ Texas RGV, Sch Math & Stat Sci, 1201 W Univ Dr, Edinburg, TX 78539 USA
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2020年 / 27卷 / 03期
关键词：
FLRW space-time; Klein-Gordon equation; Semilinear equation; Global solution; Higgs potential; KLEIN-GORDON EQUATIONS; WAVE-EQUATIONS; SITTER;
D O I：
10.1007/s00030-020-00632-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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-Lamaitre-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.
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页数：24
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