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

DOI10.1215/21562261-2019-0063zbMath1454.35380arXiv1512.08068OpenAlexW3089450798MaRDI QIDQ2216704

Makoto Nakamura

Publication date: 16 December 2020

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08068

zbMATH Keywords

Cauchy problemcosmological constantgeneral relativitynonrelativistic limitsemilinear field equation

Mathematics Subject Classification ID

Relativistic cosmology (83F05) NLS equations (nonlinear Schrödinger equations) (35Q55) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Einstein equations (35Q76) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime ⋮ On some effects of background metrics for several partial differential equations ⋮ EXISTENCE AND NON-EXISTENCE OF GLOBAL SOLUTIONS FOR THE SEMILINEAR COMPLEX GINZBURG-LANDAU TYPE EQUATION IN HOMOGENEOUS AND ISOTROPIC SPACETIME

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