6 citations · 8 across the 2 of their papers we have counts for
5 papers
Unconditional local well-posedness for periodic NLS
Nobu Kishimoto
The nonlinear Schrödinger equations with nonlinearities on the -dimensional torus are considered for arbitrary positive integers and . The solution of the Cau…
Unconditional uniqueness for the periodic modified Benjamin-Ono equation by normal form approach
Nobu Kishimoto
We show that the solution (in the sense of distribution) to the Cauchy problem with the periodic boundary condition associated with the modified Benjamin-Ono equation is unique in…
Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition
Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura
We consider a mass-critical system of nonlinear Schödinger equations \begin{align*} \begin{cases} i\partial_t u +Δu =\bar{u}v,\\ i\partial_t v +κΔv =u^2, \end{cases} (t,x)\in \math…
Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance
Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura
We consider the quadratic nonlinear Schrödinger system \begin{align*} \begin{cases} i\partial_t u +Δu =v \overline{u},\\ i\partial_t v +κΔv =u^2, \end{cases} \text{ on } I \times \…
A remark on norm inflation for nonlinear Schrödinger equations
Nobu Kishimoto
We consider semilinear Schrödinger equations with nonlinearity that is a polynomial in the unknown function and its complex conjugate, on or on the torus. Norm infla…