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20242026
most citedNorm inflation for a higher-order nonlinear Schrödinger equation with a derivative on the circle

2 citations · 2 across the 5 of their papers we have counts for

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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…