1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
Infinite-time incompleteness of noncompact Yamabe flow
Jin Takahashi, Hikaru Yamamoto
We show the noninheritance of the completeness of the noncompact Yamabe flow. Our main theorem states the existence of a long time solution which is complete for each time and conv…
Solutions with snaking singularities for the fast diffusion equation
M. Fila, J. R. King, J. Takahashi +1
We construct solutions of the fast diffusion equation, which exist for all and are singular on the set , , where $ξ\in…
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 of solutions for an inhomogeneous fractional semilinear heat equation
Kotaro Hisa, Kazuhiro Ishige, Jin Takahashi
We obtain necessary conditions and sufficient conditions on the existence of solutions to the Cauchy problem for a fractional semilinear heat equation with an inhomogeneous term. W…
Solutions with time-dependent singular sets for the heat equation with absorption
Jin Takahashi, Hikaru Yamamoto
We consider the heat equation with a superlinear absorption term in and study the existence and nonexistence of nonnegative solutions wit…