Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces

Abstract

In this paper we introduce uniformly local weak Zygmund type spaces, and obtain an optimal sufficient condition for the existence of solutions to the critical fractional semilinear heat equation.

References in corpus (3)

• A Blow-up Dichotomy for Semilinear Fractional Heat Equations
• Well-posedness of Semilinear Heat Equations in $L^1$
• A doubly critical semilinear heat equation in the $L^1$ space