74 citations · 200 across the 25 of their papers we have counts for
9 papers · 1 filter
Global in time self-interacting Dirac fields in the de Sitter space
Karen Yagdjian
In this paper the semilinear equation of the spin- fields in the de Sitter space is investigated. We prove the existence of the global in time small data solution in t…
Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation
Karen Yagdjian, Anahit Galstian
We present the fundamental solutions for the spin-1/2 fields propagating in the spacetimes with power type expansion/contraction and the fundamental solution of the Cauchy problem…
Huygens' principle for the generalized Dirac operator in curved spacetime
Karen Yagdjian
In this article we give sufficient conditions for the generalized Dirac operator to obey the incomplete Huygens principle, as well as necessary and sufficient conditions to obey th…
Fundamental solutions of the Dirac operator in the Friedmann-Lemaître-Robertson-Walker spacetime
Karen Yagdjian
The equation of the spin- particles in the Friedmann-Lemaître-Robertson-Walker spacetime is investigated. The retarded and advanced fundamental solutions to the Dirac…
The global existence of small self-interacting scalar field propagating in the contracting universe
Anahit Galstian, Karen Yagdjian
We present a condition on the self-interaction term that guaranties the existence of the global in time solution of the Cauchy problem for the semilinear Klein-Gordon equation in t…
Finite lifespan of solutions of the semilinear wave equation in the Einstein-de Sitter spacetime
Anahit Galstian, Karen Yagdjian
We examine the solutions of the semilinear wave equation, and, in particular, of the model of quantum field theory in the curved space-time. More exactly, for we pro…