Maillet type theorem for nonlinear totally characteristic partial differential equations

Alberto Lastra, Hidetoshi Tahara

The paper discusses a holomorphic nonlinear singular partial differential equation $(t{\partial }_t{)}^{m}u=F(t,x,\{(t{\partial }_t{)}^j{\partial }_x^{\alpha }u{\}}_{j+\alpha \le m,j<m})$ under the assumpt…