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December 2020 On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space
Makoto Nakamura
Kyoto J. Math. 60(4): 1333-1359 (December 2020). DOI: 10.1215/21562261-2019-0063

Abstract

We consider the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space, where the scale function of the space is constructed based on the Einstein equations. Furthermore, we examine the Cauchy problem for the limit equation and show the existence of global and blowup solutions in Sobolev spaces. Finally, we study the effects of spatial variance on the problem and remark on some dissipative and antidissipative properties of the limit equation.

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Makoto Nakamura. "On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space." Kyoto J. Math. 60 (4) 1333 - 1359, December 2020. https://doi.org/10.1215/21562261-2019-0063

Information

Received: 12 June 2018; Revised: 2 November 2018; Accepted: 8 November 2018; Published: December 2020
First available in Project Euclid: 3 October 2020

MathSciNet: MR4175810
Digital Object Identifier: 10.1215/21562261-2019-0063

Subjects:
Primary: 35Q75
Secondary: 35K58, 35L71, 35Q55, 83C05, 83F05

Rights: Copyright © 2020 Kyoto University

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Vol.60 • No. 4 • December 2020
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