3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Existence of solutions for a semilinear parabolic system with singular initial data
Yohei Fujishima, Kazuhiro Ishige, Tatsuki Kawakami
Let be a solution to the Cauchy problem for a semilinear parabolic system \[ \mathrm{(P)} \qquad \cases{ \partial_t u=D_1Δu+v^p\quad & $\quad\mbox{in}\quad{\mathbb{R}}^N\ti…
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…
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…
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…