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  - 
TY  - BOOK
A1  - Chen, Hua
A1  - Yu, Chun
T1  - Asymptotic behaviour of the trace for schrödinger operator on fractal drums
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2001
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Chen, Hua
A1  - Yu, Chun
T1  - Asymptotic behaviour of the trace for Schrödinger operator on fractal drums
T3  - Preprint - (2001) 32 
Y1  - 2001
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26157
ER  - 
TY  - BOOK
A1  - Chen, Hua
A1  - Zhong, Xinhua
T1  - Norm behavior of a parabolic-elliptic system modelling chemotaxis in three-dimensional domains
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2002
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Chen, Hua
A1  - Wu, Shaohua
T1  - On existence of solutions for some hyperbolic-parabolic type chemotaxis systems
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2006
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Chen, Hua
A1  - Wu, Shaohua
T1  - On existence of solutions for some hyperbolic-parabolic type chemotaxis systems
N2  - In this paper, we discuss the local and global existence of week solutions for some hyperbolic-parabolic systems modelling chemotaxis.
T3  - Preprint - (2006) 04 
KW  - Hyperbolic-parabolic system
KW  - KS model
KW  - Chemotaxis
Y1  - 2006
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30082
ER  - 
TY  - JOUR
A1  - Chen, Hua
A1  - Li, Ke
T1  - The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations
JF  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2007
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Chen, Hua
A1  - Li, Ke
T1  - The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations
N2  - Let X = (X1,.....,Xm) be an infinitely degenerate system of vector fields, we study the existence and regularity of multiple solutions of Dirichelt problem for a class of semi-linear infinitely degenerate elliptic operators associated with the sum of square operator Δx = ∑m(j=1) Xj* Xj.
T3  - Preprint - (2007) 03 
KW  - degenerate elliptic equations
KW  - Logarithmic Sobolev inequality
Y1  - 2007
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30247
ER  - 
TY  - INPR
A1  - Chen, Hua
A1  - Li, Wei-Xi
A1  - Xu, Chao-Jiang
T1  - Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations
N2  - This paper studies the Gevrey regularity of weak solutions of a class of linear and semilinear Fokker-Planck equations.
T3  - Preprint - (2007) 07 
Y1  - 2007
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30283
ER  - 
TY  - INPR
A1  - Chen, Hua
A1  - Li, Jun-Feng
A1  - Liu, Wei-An
T1  - Behavior of the solution to a chemotaxis model with reproduction term
N2  - Contents: 1 Introduction 2 Global existence and blow-up or quenching of the solution 3 Detailed asymptotical behavior of the solution
T3  - Preprint - (2008) 02 
Y1  - 2008
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30304
ER  -