3 citations · 9 across the 19 of their papers we have counts for
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Initial traces of solutions to a semilinear heat equation under the Dirichlet boundary condition
Kotaro Hisa, Kazuhiro Ishige
We study qualitative properties of initial traces of nonnegative solutions to a semilinear heat equation in a smooth domain under the Dirichlet boundary condition. Furthermore, for…
Necessary conditions for the solvability of fractional semilinear heat equations in the very weak framework
Kotaro Hisa
In this paper we obtain necessary conditions on the initial value for the solvability of the Cauchy problem for semilinear heat equations. These necessary conditions were already o…
Threshold property of a singular stationary solution for semilinear heat equations with exponential growth
Kotaro Hisa, Yasuhito Miyamoto
Let . We are concerned with a Cauchy problem of the semilinear heat equation \[ \begin{cases} \partial_tu-Δu=f(u), & x\in\mathbb{R}^N,\ t>0,\\ u(x,0)=u_0(x), & x\in\mathbb{…
Existence of solutions semilinear parabolic equations with singular initial data in the Heisenberg group
The Anh Bui, Kotaro Hisa
In this paper we obtain necessary conditions and sufficient conditions on the initial data for the solvability of fractional semilinear heat equations with power nonlinearities in…