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math.AP2015★ 2 cited
A remark on a priori estimate for the Navier-Stokes equations with the Coriolis force
Hiroki Ito, Jun Kato
The Cauchy problem for the Navier-Stokes equations with the Coriolis force is considered. It is proved that a similar a priori estimate, which is derived for the Navier-Stokes equa…
math.AP2010
A new proof of long range scattering for critical nonlinear Schrödinger equations
Jun Kato, Fabio Pusateri
We present a new proof of global existence and long range scattering, from small initial data, for the one-dimensional cubic gauge invariant nonlinear Schrödinger equation, and for…
math.AP2005
Uniqueness of the modified Schroedinger map in H^{3/4+e}(R^2)
Jun Kato, Herbert Koch
We establish local well-posedness of the modified Schroedinger map in H^s, s>3/4.