Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions

Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions

by Hitoshi Ishii
     
 

ISBN-10: 9812834737

ISBN-13: 9789812834737

Pub. Date: 03/31/2009

Publisher: World Scientific Publishing Company, Incorporated

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

Overview

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 consists of international experts and some participants of the conference, including N Ackermann (Mexico), C-N Chen (Taiwan), Y Du (Australia), A Farina (France), H Ishii (Japan), N Ishimura (Japan), S Koike (Japan), C-P Lo (Taiwan), P Polacik (USA), K Sakamoto (Japan), R Tsai (USA), M Wang (China), Y Yamada (Japan), E Yanagida (Japan), and X-Q Zhao (Canada).

Product Details

ISBN-13:
9789812834737
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
03/31/2009
Pages:
372
Product dimensions:
6.00(w) x 9.10(h) x 1.00(d)

Table of Contents

Preface v

Long-Time Dynamics in Semilinear Parabolic Problems with Autocatalysis N. Ackermann 1

A Note on Reaction-Diffusion Systems with Skew-Gradient Structure C.-N. Chen T.-L. Horng D. Lee C.-H. Tsai 31

Change of Environment in Model Ecosystems: Effect of a Protection Zone in Diffusive Population Models Y. Du 49

The State of the Art for a Conjecture of de Giorgi and Related Problems A. Farina B. Valdinoci 74

Two Remarks on Periodic Solutions of Hamilton-Jacobi Equations H. Ishii H. Mitake 97

Asymptotic Expansion Method for Local Volatility Models N. Ishimura K. Nishida 120

Recent Developments on Maximum Principle for Lp-Viscosity Solutions of Fully Nonlinear Elliptic/Parabolic PDEs S. Koike 131

Multiscale Modeling of Electrical Activities of the Heart C.-P. Lo H.-C. Tien D. Lee C.-H. Chang 154

Symmetry Properties of Positive Solutions of Parabolic Equations: A Survey P. Poláčik 170

Travelling Pulse Waves Non-Vanishing at Infinity for the Derivative Nonlinear Schrödinger Equation K. Imamura K. Sakamoto 209

Threshold and Redistancing Dynamics for Geometric Motions S. Esedoglu S. J. Ruuth R. Tsai 225

Blow-Up Problems for Partial Differential Equations and Systems of Parabolic Type Y. Chen M. Wang 245

Global Solutions for the Shigesada-Kawasaki-Teramoto Model with Cross-Diffusion Y. Yamada 282

Dynamics of Global Solutions of a Semilinear Parabolic Equation E. Yanagida 300

Spatial Dynamics of Some Evolution Systems in Biology X.-Q. Zhao 332

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