5 citations · 11 across the 9 of their papers we have counts for
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On inverse scattering for the one-dimensional nonlinear Dirac equation
Hironobu Sasaki
The inverse scattering problem for the one-dimensional nonlinear Dirac equation \begin{align*} \begin{cases} i(u_t+u_x)+v=\mathcal{N}_1(u,v),\\ i(v_t-v_x)+u=\mathcal{N}_2(u,v) \end…
Inverse scattering problems for the Hartree equation whose interaction potential decays rapidly
Hironobu Sasaki
We consider inverse scattering problems for the three-dimensional Hartree equation. We prove that if the unknown interaction potential of the equation satisfies some rapid d…
On the life span of the Schrödinger equation with sub-critical power nonlinearity
Hironobu Sasaki
We discuss the life span of the Cauchy problem for the one-dimensional Schrödinger equation with a single power nonlinearity (, ) prescribed…
Inverse scattering for the nonlinear Schrödinger equation with the Yukawa potential
Hironobu Sasaki
We study the inverse scattering problem for the three dimensional nonlinear Schroedinger equation with the Yukawa potential. The nonlinearity of the equation is nonlocal. We recons…