5 papers
Asymptotic profiles for the Cauchy problem of semilinear beam equation with two variable coefficients in the subcritical case
Mohamed Ali Hamza, Yuta Wakasugi, Shuji Yoshikawa
In this article, we investigate the asymptotic profile of solutions to the Cauchy problem for a nonlinear beam equation with two variable coefficients in the subcritical nonlinear…
Asymptotic behavior of solutions to elliptic equations in 2D exterior domains
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
The asymptotic behavior of solutions to the second order elliptic equations in exterior domains is studied. In particular, under the assumption that the solution belongs to the Lor…
Existence of solutions of semilinear wave equations with time-dependent propagation speed and time derivative nonlinearity
Kimitoshi Tsutaya, Yuta Wakasugi
Consider wave equations with time derivative nonlinearity and time-dependent propagation speed which are generalized versions of the wave equations in the Friedmann-Lemaître-Rober…
Existence of solutions to the semilinear damped wave equation with non- slowly decaying data : polynomial nonlinearity case
Masahiro Ikeda, Takahisa Inui, Yuta Wakasugi
We study the Cauchy problem of the semilinear damped wave equation with polynomial nonlinearity, and establish the local and global existence of the solution for slowly decaying in…
Appearance of Strauss-type exponent in semilinear wave equations with time-dependent speed of propagation
Motohiro Sobajima, Kimitoshi Tsutaya, Yuta Wakasugi
In this paper, blowup phenomenon for the semilinear wave equation with time-dependent speed of propagation and scattering damping is considered under the smallness of initial data.…