TY  - INPR
A1  - Chen, Hua
A1  - Hidetoshi, Tahara
T1  - On the holomorphic solution of non-linear totally characteristic equations
N2  - The paper deals with a non-linear singular partial differential equation: (E) t∂/∂t = F(t, x, u, ∂u/∂x) in the holomorphic category. When (E) is of Fuchsian type, the existence of the unique holomorphic solution was established by Gérard-Tahara [2]. In this paper, under the assumption that (E) is of totally characteristic type, the authors give a sufficient condition for (E) to have a unique holomorphic solution. The result is extended to higher order case.
T3  - Preprint - (1998) 20 
KW  - Nonlinear
KW  - singular partial differential equation
KW  - holomorphic solution
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25333
ER  - 
TY  - INPR
A1  - Chen, Hua
A1  - Lua, Zhuangehu
T1  - On the holomorphic solution of non-linear totally characteristic equations with several space variables
N2  - In this paper we study a class of non-linear singular partial differential equation in complex domain Csub(t) x C n sub(x). Under certain assumptions, we prove the existence and uniqueness of holomorphic solution near origin of Csub(t) x C n sub(x).
T3  - Preprint - (1998) 06 
KW  - Non-linear
KW  - singular partial differential equation
KW  - holomorphic solution
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25189
ER  -