Yukihiro Seki

collaborators

2 papers

math.AP2025

On blow-up rate for the Hénon parabolic equation with Sobolev supercritical nonlinearity

Kotaro Hisa, Yukihiro Seki

We discuss the Hénon parabolic equation $\partial_{t} u = Δ u + ∣ x ∣^{σ} u^{p}$ in a finite ball in $R^{N}$ under the Dirichlet boundary condition, where $N \geq 1$ , $p > 1$ , and $σ > 0$ . W…

math.AP2016

Type II blow-up mechanism for supercritical harmonic map heat flow

Paweł Biernat, Yukihiro Seki

The harmonic map heat flow is a geometric flow well known to produce solutions whose gradient blows up in finite time. A popular model for investigating the blow-up is the heat flo…