11 citations · 27 across the 15 of their papers we have counts for
21 papers · 1 filter
Asymptotic behavior for the damped Schrödinger equation with nonlinear dissipation
Takahisa Inui, Shun Takizawa
We consider large time asymptotics of solutions to the damped Schrödinger equation with the nonlinear dissipation in the mass-subcritical case. We prove that the optimal -deca…
Existence of small semi-vortex solutions for the cubic nonlinear Schrödinger system with Rashba type Spin-Orbit coupling on
Takahisa Inui
We consider the cubic nonlinear Schrödinger system with Rashba type Spin-Orbit Coupling (SOC) on . The system describes SO-coupled spinor BEC in physics. In the liter…
Existence of solutions to the semilinear damped wave equation with non- slowly decaying data : polynomial nonlinearity case
Masahiro Ikeda, Takahisa Inui, Yuta Wakasugi
We study the Cauchy problem of the semilinear damped wave equation with polynomial nonlinearity, and establish the local and global existence of the solution for slowly decaying in…
Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies
Stephen Gustafson, Takahisa Inui
We consider the nonlinear Schrödinger equation with a repulsive Dirac delta potential in one dimensional Euclidean space. We classify the global dynamics of even solutions with the…
Blow-up or Grow-up for the threshold solutions to the nonlinear Schrödinger equation
Stephen Gustafson, Takahisa Inui
We consider the nonlinear Schrödinger equation with -supercritical and -subcritical power type nonlinearity. Duyckaerts and Roudenko and Campos, Farah, and Roudenko s…
Threshold odd solutions to the nonlinear Schrödinger equation in one dimension
Stephen Gustafson, Takahisa Inui
We consider odd solutions to the Schrödinger equation with the -supercritical power type nonlinearity in one dimensional Euclidean space. It is known that the odd solution sca…