39 citations · 117 across the 20 of their papers we have counts for
3 papers · 1 filter
On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases
Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa
In this paper, the global well-posedness of semirelativistic equations with a power type nonlinearity on Euclidean spaces is studied. In two dimensional scaling subcritical c…
Higher order fractional Leibniz rule
Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa
The fractional Leibniz rule is generalized by the Coifman-Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher order with the correspo…
Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity
Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
We study blow-up behavior of solutions for the Cauchy problem of the semilinear wave equation with time-dependent damping. When the damping is effective, and the nonlinearity is su…