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- Karen Yagdjian
- 2009

In this article we study the blow-up phenomena for the solutions of the semilinear Klein-Gordon equation $\Box_g \phi-m^2 \phi = -|\phi |^p $ with the small mass $m \le n/2$ in de Sitter space-time… (More)

In this article we construct the fundamental solutions for the Klein-Gordon equation in de Sitter spacetime. We use these fundamental solutions to represent solutions of the Cauchy problem and to… (More)

- Karen Yagdjian
- 1997

Fourier integral operators with inhomogeneous phase functions representation theorem for solutions of equations with turning point Gevrey asymptotic representation of solutions of equations with… (More)

- Karen Yagdjian
- 2013

In this article we prove that the Klein-Gordon equation in the de Sitter spacetime obeys the Huygens' principle only if the physical mass m of the scalar field and the dimension n ⩾ 2 of the spatial… (More)

- Karen Yagdjian
- 2005

We consider nonlinear wave equations with variable coefficients. Special attention is devoted to the parametric resonance phenomena.

- Karen Yagdjian
- 2014

This is a survey of the author’s recent work rather than a broad survey of the literature. The survey is concerned with the global in time solutions of the Cauchy problem for matter waves propagating… (More)

Abstract High performance computations are presented for the Higgs boson equation in the de Sitter Spacetime using explicit fourth order Runge–Kutta scheme on the temporal discretization and fourth… (More)

- Karen Yagdjian
- 2015

In this note we describe some integral transform that allows to write solutions of the Cauchy problem for one partial differential equation via solution of another one. It was suggested by author in… (More)

High performance computations are presented for the Higgs Boson Equation in the de Sitter Space- time using explicit fourth order Runge-Kutta scheme on the temporal discretization and fourth order… (More)