activity
20032020
most citedGlobal Existence and Uniqueness of Solutions to the Maxwell-Schr{ö}dinger Equations

39 citations · 114 across the 13 of their papers we have counts for

collaborators

13 papers

math.AP2020★ 12 cited

The Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime

Makoto Nakamura

The Cauchy problem for the Klein-Gordon equation under the quartic potential is considered in the de Sitter spacetime. The existence of the global solution is shown based on the me…

math.AP2020

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

Makoto Nakamura

A semilinear ordinary differential equation is derived from a semilinear Schrödinger equation in the homogeneous and isotropic spacetime by the Ehrenfest theorem. The Cauchy proble…

gr-qc2019★ 11 cited

On the numerical experiments of the Cauchy problem for semi-linear Klein-Gordon equations in the de Sitter spacetime

Takuya Tsuchiya, Makoto Nakamura

The computational analysis of the Cauchy problem for semi-linear Klein-Gordon equations in the de Sitter spacetime is considered. Several simulations are performed to show the time…

math-ph2016

On the derivation of several second order partial differential equations from a generalization of the Einstein equation

Makoto Nakamura

A generalization of the Einstein equation is considered for complex line elements. Several second order semilinear partial differential equations are derived from it as semilinear…

math-ph2015★ 5 cited

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

Makoto Nakamura

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 equatio…

physics.comp-ph2015★ 16 cited

Improving the Description of Nonmagnetic and Magnetic Molecular Crystals via the van der Waals Density Functional

Masao Obata, Makoto Nakamura, Ikutaro Hamada +1

We have derived and implemented a stress tensor formulation for the van derWaals density functional (vdW-DF) with spin-polarization-dependent gradient correction (GC) recently prop…