Recent Progress On Reaction-diffusion Systems And Viscosity Solutions

By: Yihong Du (Editor), Hitoshi Ishii (Editor), Wei-yueh Lin (Editor)

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Hardcover | 13 March 2009

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372 Pages

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23.3 x 15.3 x 2.4

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This 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).

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Non-Fiction Mathematics Applied Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing

Preface	p. v
Long-Time Dynamics in Semilinear Parabolic Problems with Autocatalysis	p. 1
A Note on Reaction-Diffusion Systems with Skew-Gradient Structure	p. 31
Change of Environment in Model Ecosystems: Effect of a Protection Zone in Diffusive Population Models	p. 49
The State of the Art for a Conjecture of de Giorgi and Related Problems	p. 74
Two Remarks on Periodic Solutions of Hamilton-Jacobi Equations	p. 97
Asymptotic Expansion Method for Local Volatility Models	p. 120
Recent Developments on Maximum Principle for L^p-Viscosity Solutions of Fully Nonlinear Elliptic/Parabolic PDEs	p. 131
Multiscale Modeling of Electrical Activities of the Heart	p. 154
Symmetry Properties of Positive Solutions of Parabolic Equations: A Survey	p. 170
Travelling Pulse Waves Non-Vanishing at Infinity for the Derivative Nonlinear Schrödinger Equation	p. 209
Threshold and Redistancing Dynamics for Geometric Motions	p. 225
Blow-Up Problems for Partial Differential Equations and Systems of Parabolic Type	p. 245
Global Solutions for the Shigesada-Kawasaki-Teramoto Model with Cross-Diffusion	p. 282
Dynamics of Global Solutions of a Semilinear Parabolic Equation	p. 300
Spatial Dynamics of Some Evolution Systems in Biology	p. 332
Table of Contents provided by Ingram. All Rights Reserved.

Recent Progress On Reaction-diffusion Systems And Viscosity Solutions

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Hardcover

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