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Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime

Anahit Galstian, Karen Yagdjian

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Source: Crossref

Published: Dec 20, 2019

DOI: 10.1142/s0129055x2050018x

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Source abstract

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.

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Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime — Mathematical Frontier Network