3 citations · 19 across the 29 of their papers we have counts for
5 papers · 2 filters
Supercritical Henon type equation with a forcing term
Kazuhiro Ishige, Sho Katayama
This paper is concerned with the structure of solutions to the elliptic problem for an Henon type equation with a forcing term. Under suitable assumptions on the forcing term, we g…
Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data
Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami
We study the linear heat equation on a halfspace with a linear dynamical boundary condition. We are interested in an appropriate choice of the function space of initial functions s…
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…
Characterization of -concavity preserved by the Dirichlet heat flow
Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
-concavity is a generalization of power concavity and, actually, the largest available generalization of the notion of concavity. We characterize the -concavities preserved b…
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…