PageHeader : Punkcialaj Ekvacioj, 17 (1974), 13-24 Title : Existence and Nonexistence of Global Solutions of Title : the First Boundary Value Problem for a Certain Title : Quasilinear Parabolic Equation AuthorInfo : By Masayoshi TSUTSUMI AuthorInfo : (Waseda University) section : 1. Introduction. section : 2. Preliminaries. section : 3. Global existence (when $p>2+a$ ) section : Proof of Theorem 1 Completed. section : 4. Blowing up of solutions (when $2