3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AP2024
Singular solutions of semilinear elliptic equations with exponential nonlinearities in 2-dimensions
Yohei Fujishima, Norisuke Ioku, Bernhard Ruf +1
By introducing a new classification of the growth rate of exponential functions, singular solutions for semilinear elliptic equations in 2-dimensions with exponential nonlinearitie…
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.AP2016★ 3 cited
Existence and nonexistence of solutions for the heat equation with a superlinear source term
Yohei Fujishima, Norisuke Ioku
Classification theory on the existence and non-existence of local in time solutions for initial value problems of nonlinear heat equations are investigated. Without assuming a conc…