activity
20162026
most citedExistence and nonexistence of solutions for the heat equation with a superlinear source term

3 citations · 7 across the 12 of their papers we have counts for

collaborators
Showing 2022Show all

2 papers · 1 filter

math.AP2022

Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation

Yohei Fujishima, Norisuke Ioku

This paper concerns the global in time existence of solutions for a semilinear heat equation \begin{equation} \tag{P} \label{eq:P} \begin{cases} \partial_t u = Δu + f(u), &x\in \ma…

math.AP2022★ 1 cited

Solvability of Superlinear Fractional Parabolic Equations

Yohei Fujishima, Kotaro Hisa, Kazuhiro Ishige +1

We study necessary conditions and sufficient conditions for the existence of local-in-time solutions of the Cauchy problem for superlinear fractional parabolic equations. Our condi…