13 citations · 57 across the 26 of their papers we have counts for
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math.AP2021★ 5 cited
Space-time homogenization problems for porous medium equations with nonnegative initial data
Goro Akagi, Tomoyuki Oka
This paper concerns a space-time homogenization limit of nonnegative weak solutions to porous medium equations. In particular, the so-called homogenized matrix will be characterize…
math.AP2021★ 13 cited
Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods
Goro Akagi
This paper is concerned with a quantitative analysis of asymptotic behaviors of (possibly sign-changing) solutions to the Cauchy-Dirichlet problem for the fast diffusion equation p…
math.AP2021
General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data
Goro Akagi, Kazuhiro Ishige, Ryuichi Sato
This paper presents an integrated framework to construct local-energy solutions to fairly general nonlinear diffusion equations for initial data growing at infinity under suitable…