activity
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

collaborators
Showing 2026Show all

3 papers · 1 filter

math.AP2026

A sharp criterion for well-posedness of semilinear Schrödinger equations on the real line

Toshiki Kondo, Mamoru Okamoto

We consider the Cauchy problem for semilinear Schrödinger equations on the real line. We establish a sharp necessary and sufficient condition on the nonlinearity for local well-pos…

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.AP2026

Norm inflation for quadratic derivative fractional nonlinear Schrödinger equations

Toshiki Kondo, Mamoru Okamoto

We consider the Cauchy problem for quadratic derivative fractional nonlinear Schrödinger equations on or . We determine the sharp exponents of the fraction…