3 citations · 6 across the 8 of their papers we have counts for
9 papers
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…
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…
Initial traces and solvability for a semilinear heat equation on a half space of
Kotaro Hisa, Kazuhiro Ishige, Jin Takahashi
We show the existence and the uniqueness of initial traces of nonnegative solutions to a semilinear heat equation on a half space of under the zero Dirichlet bounda…
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…
Optimal singularities of initial data for solvability of the Hardy parabolic equation
Kotaro Hisa, Jin Takahashi
We consider the Cauchy problem for the Hardy parabolic equation with initial data singular at some point . Our main results show that, if $z\…
Existence and nonexistence of solutions to the Hardy parabolic equation
Kotaro Hisa, Mikołaj Sierżęga
In this paper, we obtain necessary conditions and sufficient conditions on the initial data for the local-in-time solvability of the Cauchy problem \[ \partial_t u +(-Δ)^\fracθ{2}…