@unpublished{ChenHidetoshi1998, author = {Chen, Hua and Hidetoshi, Tahara}, title = {On the holomorphic solution of non-linear totally characteristic equations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25333}, year = {1998}, abstract = {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 G{\´e}rard-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 The result is extended to higher order case.}, language = {en} } @unpublished{ChenLua1998, author = {Chen, Hua and Lua, Zhuangehu}, title = {On the holomorphic solution of non-linear totally characteristic equations with several space variables}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25189}, year = {1998}, abstract = {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).}, language = {en} } @book{ChenYu2001, author = {Chen, Hua and Yu, Chun}, title = {Asymptotic behaviour of the trace for schr{\"o}dinger operator on fractal drums}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {12 S.}, year = {2001}, language = {en} } @unpublished{ChenYu2001, author = {Chen, Hua and Yu, Chun}, title = {Asymptotic behaviour of the trace for Schr{\"o}dinger operator on fractal drums}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26157}, year = {2001}, language = {en} } @book{ChenZhong2002, author = {Chen, Hua and Zhong, Xinhua}, title = {Norm behavior of a parabolic-elliptic system modelling chemotaxis in three-dimensional domains}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {16 S.}, year = {2002}, language = {en} } @book{ChenWu2006, author = {Chen, Hua and Wu, Shaohua}, title = {On existence of solutions for some hyperbolic-parabolic type chemotaxis systems}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {14 S.}, year = {2006}, language = {en} } @unpublished{ChenWu2006, author = {Chen, Hua and Wu, Shaohua}, title = {On existence of solutions for some hyperbolic-parabolic type chemotaxis systems}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30082}, year = {2006}, abstract = {In this paper, we discuss the local and global existence of week solutions for some hyperbolic-parabolic systems modelling chemotaxis.}, language = {en} } @article{ChenLi2007, author = {Chen, Hua and Li, Ke}, title = {The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {23 S.}, year = {2007}, language = {en} } @unpublished{ChenLi2007, author = {Chen, Hua and Li, Ke}, title = {The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30247}, year = {2007}, abstract = {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.}, language = {en} } @unpublished{ChenLiXu2007, author = {Chen, Hua and Li, Wei-Xi and Xu, Chao-Jiang}, title = {Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30283}, year = {2007}, abstract = {This paper studies the Gevrey regularity of weak solutions of a class of linear and semilinear Fokker-Planck equations.}, language = {en} } @unpublished{ChenLiLiu2008, author = {Chen, Hua and Li, Jun-Feng and Liu, Wei-An}, title = {Behavior of the solution to a chemotaxis model with reproduction term}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30304}, year = {2008}, abstract = {Contents: 1 Introduction 2 Global existence and blow-up or quenching of the solution 3 Detailed asymptotical behavior of the solution}, language = {en} }