6 citations · 9 across the 3 of their papers we have counts for
9 papers
Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity
Kazumasa Fujiwara
In this manuscript, in the scaling critical case, a lifespan estimate of solutions to the Cauchy problem for non-gauge invariant semilinear semirelativistic equations is cons…
Remark on the Chain rule of fractional derivative in the Sobolev framework
Kazumasa Fujiwara
A chain rule for power product is studied with fractional differential operators in the framework of Sobolev spaces. The fractional differential operators are defined by the Fourie…
A test function method for evolution equations with fractional powers of the Laplace operator
Kazumasa Fujiwara, Marcello D'Abbicco
In this paper, we discuss a test function method to obtain nonexistence of global-in-time solutions for higher order evolution equations with fractional derivatives and a power non…
The Cauchy problem of the semilinear second order evolution equation with fractional Laplacian and damping
Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
In the present paper, we prove time decay estimates of solutions in weighted Sobolev spaces to the second order evolution equation with fractional Laplacian and damping for data in…
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…