Special Session 64: Blow-ups and dynamics of nonlinear parabolic equations

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

Tatsuki Kawakami
Ryukoku University
Japan
Co-Author(s):    Norisuke Ioku, Ryo Takada, and Kazuhiro Ishige
Abstract:
The study of the solvability of the Cauchy problem for semilinear (fractional) heat equations is divided into the three cases with respect to the nonlinear exponent: $1