Kotaro Hisa

activity

20162026

most citedExistence of solutions for a fractional semilinear parabolic equation with singular initial data

3 citations · 7 across the 17 of their papers we have counts for

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Showing 2025 · math.APShow all

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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.AP2025

Non-uniqueness of positive solutions for supercritical semilinear heat equations without scale invariance

Kotaro Hisa, Yasuhito Miyamoto

We establish nonuniqueness of solutions for Cauchy problems of semilinear heat equations with a wide class of nonlinearities. Specifically, we consider \[ \begin{cases} \partial_tu…