The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:465

Article

Yagdjian, Karen¹  Balogh, Andras¹ 

[1] Univ Texas RGV, Sch Math & Stat Sci, 1201 W Univ Dr, Edinburg, TX 78539 USA

关键词: Maximum principle;    Sign-changing solutions;    Semilinear Klein-Gordon equation de Sitter space-time;    Global solutions;    Higgs potential;   

DOI  :  10.1016/j.jmaa.2018.05.014

来源: Elsevier

【 摘 要 】

In this article we discuss the maximum principle for the linear equation and the sign changing solutions of the semilinear equation with the Higgs potential. Numerical simulations indicate that the bubbles for the semilinear Klein-Gordon equation in the de Sitter space time are created and apparently exist for all times. Published by Elsevier Inc.

【 授权许可】

Free