Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime

被引：0

作者：

Nakamura, Makoto ^{[1
]}

Sato, Yuya ^{[1
]}

机构：

[1] Yamagata Univ, Fac Sci, Kojirakawa Machi 1-4-12, Yamagata 9908560, Japan

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2020年 / 49卷 / 03期

关键词：

semilinear diffusion equation; de Sitter spacetime; global solution; KLEIN-GORDON EQUATIONS; ASYMPTOTIC-BEHAVIOR; CAUCHY-PROBLEM; SCALAR FIELD; BLOW-UP; WAVE; EXISTENCE; UNIVERSE; NONEXISTENCE; SYSTEM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Cauchy problem for the semilinear diffusion equation is considered in the de Sitter spacetime with the spatial zero-curvature. Global solutions and their asymptotic behaviors for small initial data are obtained for positive and negative Hubble constants. The effects of the spatial expansion and contraction are studied on the problem.

引用

页码：481 / 508

页数：28

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