TY - BOOK A1 - Hua, Chen A1 - Jun-Feng, Li A1 - Wei-An, Liu T1 - Behavior of the Solution to a Chemotaxis Model with Reproduction term T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2008 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Liu, Weian T1 - Monotone method for nonlocal systems of first order T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2005 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Weian, Liu T1 - Viscosity Solutions of Fully Nonlinea Parabolic Systems T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2002 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Yin, Yang A1 - Hua, Chen A1 - Weian, Liu T1 - On solutions of the chemotaxis equations T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1998 VL - 1998, 06 PB - Univ. CY - Potsdam ER - TY - INPR A1 - Liu, Weian T1 - Monotone method for nonlocal systems of first order N2 - In this paper, the monotone method is extended to the initial-boundary value problems of nonlocal PDE system of first order, both quasi-monotone and non-monotone. A comparison principle is established, and a monotone scheme is given. T3 - Preprint - (2005) 05 KW - System of nonlocal PDE of first order KW - comparison principle KW - monotone method Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-29791 ER - TY - INPR A1 - Liu, Weian A1 - Yang, Yin A1 - Lu, Gang T1 - Viscosity solutions of fully nonlinear parabolic systems N2 - In this paper, we discuss the viscosity solutions of the weakly coupled systems of fully nonlinear second order degenerate parabolic equations and their Cauchy-Dirichlet problem. We prove the existence, uniqueness and continuity of viscosity solution by combining Perron's method with the technique of coupled solutions. The results here generalize those in [2] and [3]. T3 - Preprint - (2002) 02 KW - Viscosity solutions KW - systems of partial differential equations KW - fully non-linear degenerate parabolic equations KW - Perron's method KW - coupled solution Y1 - 2002 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26215 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 -