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.AP2023★ 1 cited

Optimal singularities of initial data of a fractional semilinear heat equation in open sets

Kotaro Hisa

We consider necessary conditions and sufficient conditions on the solvability of the Cauchy--Dirichlet problem for a fractional semilinear heat equation in open sets (possibly unbo…

math.AP2023

Local solvability and dilation-critical singularities of supercritical fractional heat equations

Yohei Fujishima, Kotaro Hisa, Kazuhiro Ishige +1

We consider the Cauchy problem for fractional semilinear heat equations with supercritical nonlinearities and establish both necessary conditions and sufficient conditions for loca…

math.AP2023

On solvability of a time-fractional semilinear heat equation, and its quantitative approach to the classical counterpart

Kotaro Hisa, Mizuki Kojima

We are concerned with the following time-fractional semilinear heat equation in the $N$ -dimensional whole space $R^{N}$ with $N \geq 1$ . \[ {\rm (P)}_α\qquad \partial_t^αu -Δu…