The Cauchy problem for a semilinear ordinary differential equation in the homogeneous and isotropic spacetime

Makoto Nakamura

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arXiv · 2003.04999

The Cauchy problem for a semilinear ordinary differential equation in the homogeneous and isotropic spacetime

Makoto Nakamura

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Abstract

A semilinear ordinary differential equation is derived from a semilinear Schr\"odinger equation in the homogeneous and isotropic spacetime by the Ehrenfest theorem. The Cauchy problem for the equation is considered. Exact solutions and nonexistence of global weak solutions of the equation are also considered in the de Sitter spacetime. The effects of spatial expansion and contraction are studied.

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Makoto Nakamura. 2020-03-05. The Cauchy problem for a semilinear ordinary differential equation in the homogeneous and isotropic spacetime. https://arxiv.org/abs/2003.04999

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