Special Session 73: Nonlinear elliptic and parabolic equations and related functional inequalities
Existence of solutions to a semilinear heat equation in uniformly local weak Zygmund type spaces
Norisuke Ioku
Tohoku University Japan
Co-Author(s): Kazuhiro Ishige, Tatsuki Kawakami
Abstract:
We consider an optimal sufficient condition for the existence of solutions to the critical semilinear heat equation by introducing uniformly local weak Zygmund type spaces. Differences between standard (weak) Zygmund spaces and the space introduced here will be explained by focusing several properties for the heat semigroup in these spaces.