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arXiv · 1512.08068

On the nonrelativistic limit of a semilinear field equation in a uniform and isotropic space

Makoto Nakamura
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Abstract

The nonrelativistic limit of a semilinear field equation is considered in a uniform and isotropic space.The scale-function of the space is constructed based on the Einstein equation.The Cauchy problem of the limit-equation is considered,and global and blow-up solutions are shown in Sobolev spaces. The role of spatial variance on the problem is studied,and some dissipative properties of the limit-equation are remarked.

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Makoto Nakamura. 2015-12-26. On the nonrelativistic limit of a semilinear field equation in a uniform and isotropic space. https://doi.org/10.1215/21562261-2019-0063

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