Ryoto Ichiya

collaborators

2 papers

math.AP2026

Nondegeneracy and asymptotic behavior of type I blow-up for semilinear heat equations with general nonlinearities

Yohei Fujishima, Ryoto Ichiya, Norisuke Ioku

We study the local asymptotic behavior of nonnegative type I blow-up solutions to semilinear heat equations with nonlinearities that need not be scale invariant. Using a quasi-simi…

math.AP2025

Asymptotic Blow-up Behavior for the Semilinear Heat Equation with Super-exponential Nonlinearities

Ryoto Ichiya

We consider the semilinear heat equation $u_{t} - Δ u = f (u)$ in $Ω = B_{R} (0) \subset R^{n}$ with super-exponential nonlinearities $f (u) = e^{u^{p}} u^{q}$ ( $p > 1$ , $q \in \{0\}\cup [1…