Kotaro Hisa

activity

20162026

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

3 citations · 9 across the 19 of their papers we have counts for

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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…

physics.ao-ph2025

Atmospheric Predictability Beyond 30 Days with Machine Learning

P. Trent Vonich, Gregory J. Hakim

Atmospheric predictability research has long held that rapid error growth at small spatial scales imposes an intrinsic limit of roughly two weeks on deterministic weather forecast…