PageHeader : $\mathrm{F}\mathrm{u}\mathrm{n}\mathrm{k}\mathrm{c}\overline{\mathrm{i}}\mathrm{a}\mathrm{l}\mathrm{a}\mathrm{j}$ Ekvacioj, 24 (1981) 125-134 Title : On the Semigroup Treatment of the Hamilton-Jacobi Title : Equation in Several Space Variables AuthorInfo : By AuthorInfo : Sadakazu AIZAWA and Yoshihito TOMITA AuthorInfo : (Kobe University and Kobe University of Mercantile Marine) AuthorInfo : Dedicated to Professor Taro Ura in commemoration of His Sixtieth Birthday section : 1. Introduction section : 2. Deffiition of the operator $A_{0}$ : $v\rightarrow f(v_{x})$ section : 3. The equation $u+f(u_{x})=h$ section : 4. The semigroup of contractions associated with (CP) section : References