Global in time existence of self-interacting scalar field in de Sitter spacetimes

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• 作者：Anahit Galstian ^{anahit.galstyan@utrgv.edu" class="auth_mail" title="E-mail the corresponding author} ; Karen Yagdjian ; ^{karen.yagdjian@utrgv.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Klein&ndash ; Gordon equation ; de Sitter space&ndash ; time ; Global solution
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：34
• 期：Complete
• 页码：110-139
• 全文大小：762 K

文摘

We prove the existence of a global in time solution of the semilinear Klein–Gordon equation in the de Sitter space–time. The coefficients of the equation depend on spatial variables as well, that make results applicable to the space–time with the time slices being Riemannian manifolds.