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

2017/12/06 by Balogh, Andras, Yagdjian, Karen
#35A01 #35B40 (Secondary) #35L71 #35Q75 (Primary) 35B05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.02631

Abstract

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 spacetime are created and apparently exist for all times.

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