Karen Yagdjian
Published 2010-09-16, updated 2010-10-03Version 2
In this article we study global in time (not necessarily small) solutions of the equation for the Higgs boson in the Minkowski and in the de Sitter spacetimes. We reveal some qualitative behavior of the global solutions. In particular, we formulate sufficient conditions for the existence of the zeros of global solutions in the interior of their supports, and, consequently, for the creation of the so-called bubbles, which have been studied in particle physics and inflationary cosmology. We also give some sufficient conditions for the global solution to be an oscillatory in time solution.
On global solution to the Klein-Gordon-Hartree equation below energy space
A Riemann-Hilbert approach to existence of global solutions to the Fokas-Lenells equation on the line
Existence of global solutions to the nonlocal Schrödinger equation on the line
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