PageHeader : Funkcialaj Ekvacioj, 41 (1998) 337-345 Title : Newton Polyhedrons and a Formal Gevrey Space of Double Title : Indices for Linear Partial Differential Operators AuthorInfo : By AuthorInfo : Hiroshi YAMAZAWA AuthorInfo : (Musashino College, Japan) section : 1. Introduction section : 2. Statement of results subsection : 2.1. Notations subsection : 2.2. Formal Gevrey class $G^{\{S_{t},S_{x}\}}$ subsection : 2.3. Newton polyhedron subsection : 2.4. Main results section : 3. Proof of Theorem subsection : 3.1. The estimate of operator $t^{\sigma^{\prime}}x^{\alpha^{\prime}}\partial_{t}^{\sigma}\partial_{x}^{\alpha}P_{m}^{-1}$ subsection : 3.2. The estimate of operator $L_{m}P_{m}^{-1}$ section : References