Norisuke Ioku

activity

20132026

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

3 citations · 7 across the 9 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.FA2022

$W^{1, p}$ approximation of the Moser--Trudinger inequality

Masato Hashizume, Norisuke Ioku

We propose a power type approximation of the Moser--Trudinger functional and show that its concentration level converges to the Carleson--Chang limit.

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…

W1,p approximation of the Moser--Trudinger inequality

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

$W^{1, p}$ approximation of the Moser--Trudinger inequality