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

27 Jan 2018 · Balogh Andras, Yagdjian Karen ·

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.