PageHeader : Funkcialaj Ekvacioj, 30 (1987) 251-268 Title : On the Semilinear Heat Equations and Wave Title : Equations with Unbounded Coefficient AuthorInfo : By AuthorInfo : Yukiyoshi EBIHARA AuthorInfo : (Fukuoka University, Japan) section : §0. Introduction section : §1. Preliminaries section : §2. Local existence section : §3. Global existence for the heat equation section : §4. Global existence for the wave equation section : §5. Remarks section : References