3 papers
math.AP2024
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…
math.AP2023
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…
math.AP2021
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…