We examine the solutions of the semilinear wave equation, and, in particular, of the [Formula: see text] model of quantum field theory in the curved spacetime. More exactly, for [Formula: see text] we prove that the solution of the massless self-interacting scalar field equation in the Einstein–de Sitter universe has finite lifespan.

中文翻译：

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爱因斯坦-德西特时空中半线性波动方程解的有限寿命

我们研究了半线性波动方程的解，特别是弯曲时空中量子场论的[公式：见正文]模型。更准确地说，对于[公式：见正文]，我们证明了爱因斯坦-德西特宇宙中无质量自相互作用标量场方程的解具有有限的寿命。