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Bibliography

1
Chen H. and Luo Z., On the Holomorphic Solution of Non-linear Totally Characteristic Equations with Several Space Variables, Preprint 99/23 November 1999, Institut für Mathematik, Universität Potsdam.

2
Chen H. and Luo Z. and Tahara H., Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity, to appear.

3
Chen H. and Tahara H., On Totally Characteristic Type Non-linear Partial Differential Equations in Complex Domain, Publ. RIMS, Kyoto Univ. 35 (1999), 621-636.

4
Gérard R. and Tahara H., Singular Nonlinear Partial Differential Equations, Vieweg, 1996.

5
Miyake M. and Shirai A., Convergence of Formal Solutions of First Order Singular Nonlinear Partial Differential Equations in Complex Domain, Annales Polonic Mathmatici (volume dedicated to the memory of B. Ziemian), 74 (2000), 215-228.

6
Ouchi S., Genuine solutions and formal solutions with Gevrey type estimates of nonlinear partial differential equations, J. Math. Sci. Univ. Tokyo, 2(1995), 375-417.

7
Shirai A., Maillet Type Theorem for Nonlinear Partial Differential Equations and Newton Polygons, J. Math. Soc. Japan. Vol 53, 3 (2001).



Nobuki Takayama 2002-09-18