47 citations · 203 across the 36 of their papers we have counts for
3 papers · 2 filters
Self-similar solutions to the derivative nonlinear Schrödinger equation
Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa
A class of self-similar solutions to the derivative nonlinear Schrödinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic p…
Note for global existence of semilinear heat equation in weighted
Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa
The local and global existence of the Cauchy problem for semilinear heat equations with small data is studied in the weighted framework by a simple contrac…
Local Well-posedness and Blow-up for the Half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential
Luigi Forcella, Kazumasa Fujiwara, Vladimir Georgiev +1
We study the Cauchy problem for the half Ginzburg-Landau-Kuramoto (hGLK) equation with the second order elliptic operator having rough coefficients and potential type perturbation.…