39 citations · 114 across the 13 of their papers we have counts for
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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…
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…
Remarks on global solutions for nonlinear wave equations under the standard null conditions
Hans Lindblad, Makoto Nakamura, Christopher D. Sogge
A combination of some weighted energy estimates is applied for the Cauchy problem of quasilinear wave equations with the standard null conditions in three spatial dimensions. Alter…
Global Existence and Uniqueness of Solutions to the Maxwell-Schr{ö}dinger Equations
Makoto Nakamura, Takeshi Wada
The time local and global well-posedness for the Maxwell-Schr{ö}dinger equations is considered in Sobolev spaces in three spatial dimensions. The Strichartz estimates of Koch and T…
Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains
Jason Metcalfe, Makoto Nakamura, Christopher D. Sogge
In this paper we prove global existence for certain multispeed Dirichlet-wave equations with quadratic nonlinearities outside of obstacles. We assume the natural null condition for…
Local well-posedness for the Maxwell-Schrödinger equation
Makoto Nakamura, Takeshi Wada
Time local well-posedness for the Maxwell-Schrödinger equation in the coulomb gauge is studied in Sobolev spaces by the contraction mapping principle. The Lorentz gauge and the tem…