PageHeader : Fimkcialaj Ekvacioj, 37 (1994) 249-261 Title : The Cauchy Problem for the Semilinear Title : Euler-Poisson-Darboux Equation Title : with the Third Order Power Nonlinearity AuthorInfo : By AuthorInfo : Hiroshi UESAKA AuthorInfo : (Nihon University, Japan) AuthorInfo : Dedicated to Prof. Takesi Yamanaka on his 60th birthday section : 1 Introduction section : 2 Transform of the problem and energy inequalities section : 3 Existence of solutions for $\Psi$ -initial data section : 4 Existence of solutions for $H^{4}-$ initial data section : References