Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions

Hardcover (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $116.43
Usually ships in 1-2 business days
(Save 21%)
Other sellers (Hardcover)
  • All (3) from $116.43   
  • New (2) from $116.43   
  • Used (1) from $129.06   

More About This Textbook


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).

Read More Show Less

Product Details

  • ISBN-13: 9789812834737
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 3/31/2009
  • 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

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)