3 papers
math.AP2026
Nowhere continuity of the flow map of an integrable derivative nonlinear Schrödinger system on the torus
Toshiki Kondo
We consider a derivative nonlinear Schrödinger system called the Chen-Lee-Liu type system on the torus. This system is known as a completely integrable system. We prove the flow ma…
math.AP2025
Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schrödinger equations on the torus
Takamori Kato, Toshiki Kondo, Mamoru Okamoto
We consider the Cauchy problem for derivative fractional Schrödinger equations (fNLS) on the torus . Recently, the second and third authors established a necessary and s…
math.AP2025
Well- and ill-posedness of the Cauchy problem for semi-linear Schrödinger equations on the torus
Toshiki Kondo, Mamoru Okamoto
We consider the Cauchy problem for semi-linear Schrödinger equations on the torus . We establish a necessary and sufficient condition on the polynomial nonlinearity for…