41 citations · 158 across the 25 of their papers we have counts for
3 papers · 2 filters
Asymptotic expansions of solutions of fractional diffusion equations
Kazuhiro Ishige, Tatsuki Kawakami, Hironori Michihisa
In this paper we obtain the precise description of the asymptotic behavior of the solution of $$ \partial_t u+(-Δ)^{\fracθ{2}}u=0\quad\mbox{in}\quad{\bf R}^N\times(0,\infty), \…
Asymptotic Behavior and Decay Estimates of the Solutions for a Nonlinear Parabolic Equation with Exponential Nonlinearity
Giulia Furioli, Tatsuki Kawakami, Bernhard Ruf +1
We consider a nonlinear parabolic equation with an exponential nonlinearity which is critical with respect to the growth of the nonlinearity and the regularity of the initial data.…
Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation
Tatsuki Kawakami, Hiroshi Takeda
We study the Cauchy problem for a nonlinear damped wave equation. Under suitable assumptions for the nonlinearity and the initial data, we obtain the global solution which satisfie…