Description
Book SynopsisThis book consists of survey and research articles expanding on the theme of the “International Conference on Reaction-Diffusion Systems and Viscosity Solutions”, held at Providence University, Taiwan, during January 3-6, 2007. It is a carefully selected collection of articles representing the recent progress of some important areas of nonlinear partial differential equations. The book is aimed for researchers and postgraduate students who want to learn about or follow some of the current research topics in nonlinear partial differential equations. The contributors consist of international experts and some participants of the conference, including Nils Ackermann (Mexico), Chao-Nien Chen (Taiwan), Yihong Du (Australia), Alberto Farina (France), Hitoshi Ishii (Japan), N Ishimura (Japan), Shigeaki Koike (Japan), Chu-Pin Lo (Taiwan), Peter Polacik (USA), Kunimochi Sakamoto (Japan), Richard Tsai (USA), Mingxin Wang (China), Yoshio Yamada (Japan), Eiji Yanagida (Japan), and Xiao-Qiang Zhao (Canada).
Table of ContentsHamilton-Jacobi Equations; Regularity of Lp Viscosity Solutions; Symmetry Properties of Positive Solutions of Parabolic Equations: A Survey; Long-Time Dynamics in Semilinear Parabolic Problems with Autocatalysis; Dynamics of Global Solutions of a Semilinear Parabolic Equation; Blow-Up Problems for Partial Differential Equations and Systems of Parabolic Type; Global Solutions for Shigesada-Kawasaki-Teramoto Model with Cross-Diffusion; Spatial Dynamics of Some Evolution Systems in Biology; Population Models with a Protection Zone; Traveling Pulse Waves Nonvanishing at Infinity for the Derivative Nonlinear Schrodinger Equation; Threshold Dynamics for Geometric-Based Motion of an Interface and Some Generalizations; The State-of-the-Art for a Conjecture of de Giorgi and Related Problems; A Note on Reaction-Diffusion Systems with Skew-Gradient Structure; Multiscale Modeling of Electrical Activities of Heart; Asymptotic Expansion Method for Local Volatility Models.
