Masahiro Ikeda
Last updated: Sep 9, 2019 at 19:52
Misc
Masahiro Ikeda, Motohiro Sobajima
Oct 2017
This paper is concerned with the blowup phenomena for initialboundary value
problem for certain semi linear parabolic, dispersive and hyperbolic equations
in conelike domain. The result proposes a unified treatment of estimates for
lifespan of s...
Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto, Yuta Wakasugi
Oct 2017
We study the Cauchy problem of the damped wave equation \begin{align*}
\partial_{t}^2 u  \Delta u + \partial_t u = 0 \end{align*} and give sharp

estimates of the solution for
with derivative loss. ...
Masahiro Ikeda, Motohiro Sobajima
Sep 2017
This paper is concerned with the blowup phenomena for initial value problem
of semilinear wave equation with critical timedependent damping term (DW). The
result is the sharp upper bound of lifespan of solution with respect to the
small parameter...
Masahiro Ikeda, Motohiro Sobajima
Sep 2017
This paper is concerned with the blowup phenomena for initial value problem
of semilinear wave equation with critical spacedependent damping term
(DW:
). The main result of the present paper is to give a solution of the
problem and to provide a...
Masahiro Ikeda, Yuta Wakasugi
Aug 2017
We study global existence of solutions to the Cauchy problem for the wave
equation with timedependent damping and a power nonlinearity in the
overdamping case. We prove the global wellposedness for small data in the
energy space for the whole en...