6 citations · 12 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
Remark on the global non-existence of semirelativistic equations with non-gauge invariant power type nonlinearity with mass
Kazumasa Fujiwara
The non-existence of global solutions for semirelativistic equations with non-gauge invariant power type nonlinearity with mass is studied in the frame work of weighted . In 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.…
A note for the global non-existence of semirelativistic equations with non-gauge invariant power type nonlinearity
Kazumasa Fujiwara
The non-existence of global solutions for semirelativistic equations with non-gauge invariant power type nonlinearity is revisited by a relatively direct way with a pointwise estim…