4 papers · 1 filter
On a Fujita critical time-fractional semilinear heat equation in the uniformly local weak Zygmund type space
Mizuki Kojima
In this paper, we derive sufficient conditions on initial data for the local-in-time solvability of a time-fractional semilinear heat equation with the Fujita exponent in a uniform…
On solvability of a time-fractional semilinear heat equation, and its quantitative approach to the classical counterpart
Kotaro Hisa, Mizuki Kojima
We are concerned with the following time-fractional semilinear heat equation in the -dimensional whole space with . \[ {\rm (P)}_α\qquad \partial_t^αu -Δu…
On solvability of a time-fractional doubly critical semilinear equation, and its quantitative approach to the non-existence result on the classical counterpart
Mizuki Kojima
We study a time-fractional semilinear heat equation $$\partial^α_t u -Δu = u^{p},\ \ \mbox{in}\ (0,T)\times\mathbb{R}^N,\ \ u(0)=u_0\ge0$$ with and $p=…
The existence and regularity theory for abstract semilinear time-fractional evolution equations
Mizuki Kojima
In this paper, we investigate abstract time-fractional evolution equations with nonlinear perturbations. We construct solutions of Lipschitz perturbation problems in arbitrary larg…