The semilinear Klein-Gordon equation in de Sitter spacetime
| dc.creator | Yagdjian, Karen | |
| dc.date | 2009-02-28 | |
| dc.date.accessioned | 2026-07-07T12:47:58Z | |
| dc.date.available | 2026-07-07T12:47:58Z | |
| dc.description | In this article we study the blow-up phenomena for the solutions of the semilinear Klein-Gordon equation $\Box_g ϕ-m^2 ϕ= -|ϕ|^p $ with the small mass $m \le n/2$ in de Sitter space-time with the metric $g$. We prove that for every $p>1$ the large energy solution blows up, while for the small energy solutions we give a borderline $p=p(m,n)$ for the global in time existence. The consideration is based on the representation formulas for the solution of the Cauchy problem and on some generalizations of the Kato's lemma. | |
| dc.identifier | https://arxiv.org/abs/0903.0089 | |
| dc.identifier | http://arxiv.org/abs/0903.0089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221897 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35L70, 35Q75; 35Q40 | |
| dc.title | The semilinear Klein-Gordon equation in de Sitter spacetime | |
| dc.type | text |