8 citations · 24 across the 10 of their papers we have counts for
10 papers
Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations
Luc Molinet, Tomoyuki Tanaka
We consider the Cauchy problem for one-dimensional dispersive equations with a general nonlinearity in the periodic setting. Our main hypotheses are both that the dispersive operat…
On the critical decay for the wave equation with a cubic convolution in 3D
Tomoyuki Tanaka, Kyouhei Wakasa
We consider the wave equation with a cubic convolution in three space dimensions. Here, and stands for the convolution in the space…
Well-posedness and parabolic smoothing effect for higher order Schrödinger type equations with constant coefficients
Tomoyuki Tanaka, Kotaro Tsugawa
We consider the Cauchy problem of a class of higher order Schrödinger type equations with constant coefficients. By employing the energy inequality, we show the well-posednes…
Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities
Hiroyuki Hirayama, Masahiro Ikeda, Tomoyuki Tanaka
We study the Cauchy problem to the semilinear fourth-order Schrödinger equations: \begin{equation}\label{0-1}\tag{4NLS} \begin{cases} i\partial_t u+\partial_x^4u=G\left(\left\{\par…
Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution
Masahiro Ikeda, Tomoyuki Tanaka, Kyouhei Wakasa
In the present paper, we study the Cauchy problem for the wave equation with a time-dependent scale invariant damping and a cubic convolution $(|x|^{-γ}…
Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data
Masahiro Ikeda, Tomoyuki Tanaka, Kyouhei Wakasa
In the present paper, we study the Cauchy problem for the wave equation with a time-dependent scale invariant damping, i.e. and a cubic convolution $(|x|…
Gamma Ray Spectra from Thermal Neutron Capture on Gadolinium-155 and Natural Gadolinium
Tomoyuki Tanaka, Kaito Hagiwara, Enrico Gazzola +18
Natural gadolinium is widely used for its excellent thermal neutron capture cross section, because of its two major isotopes: Gd and Gd. We measured the …
Local well-posedness for fourth order Benjamin-Ono type equations
Tomoyuki Tanaka
We continue to study the local well-posedness for higher order Benjamin-Ono type equations, especially fourth order equations. The proof is based on the energy methods with correct…
Local well-posedness for third order Benjamin-Ono type equations on the torus
Tomoyuki Tanaka
We consider the Cauchy problem of third order Benjamin-Ono type equations on the torus. Nonlinear terms may yield derivative losses, which prevents us from using the classical ener…
Gamma Ray Spectrum from Thermal Neutron Capture on Gadolinium-157
Kaito Hagiwara, Takatomi Yano, Tomoyuki Tanaka +20
We have measured the -ray energy spectrum from the thermal neutron capture, GdGd, on an enriched Gd target (GdO) in the energy range…