Abstract
A semilinear Newton equation of motion is derived from a semilinear Schrödinger equation in homogeneous and isotropic spacetimes by the Ehrenfest theorem. The Cauchy problem for the equation is considered, especially, on the existence of global solutions and nonexistence of global weak solutions. The effects of spatial expansion and contraction are studied.
Citation
Makoto Nakamura. "ON THE CAUCHY PROBLEM FOR A SEMILINEAR NEWTON EQUATION OF MOTION DERIVED FROM A SEMILINEAR SCHRÖDINGER EQUATION IN HOMOGENEOUS AND ISOTROPIC SPACETIMES." Tsukuba J. Math. 47 (2) 153 - 189, December 2023. https://doi.org/10.21099/tkbjm/20234702153
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