Art

J-GLOBAL ID：201502241172299721   Reference number：15A0259544

Remarks on Spreading and Vanishing for Free Boundary Problems of Some Reaction-Diffusion Equations

いくつかの反応-拡散方程式の自由境界問題に関する広がり及び消滅に関するリマーク

Author (3)： KANEKO Yuki (Waseda Univ.) ,  OEDA Kazuhiro (Waseda Univ.) ,  YAMADA Yoshio (Waseda Univ.)
Material： Funkcialaj Ekvacioj. International Series  (Funkcialaj Ekvacioj)
Volume： 57  Issue： 3  Page： 449-465 (J-STAGE)  Publication year： 2014 
JST Material Number： L4931A  ISSN： 0532-8721  Document type： Article
Article type： 短報  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *boundary value problem ,  property ,  diffusion equation ,  *dynamic characteristic ,  *nonlinearity ,  limit ,  number (mathematics) ,  bounded ,  population
Semi thesaurus term： *reaction-diffusion equation ,  *free boundary problem ,  *extent ,  invasiveness ,  *dynamic characteristics ,  Dirichlet problem

JST classification (2)： Mathematical physics  (BA03000W) ,  Diffusion in solids in general  (BL06021L)

Reference (11)：

• [1] Cantrell, R. S. and Cosner, C., <i>Spatial Ecology via Reaction-Diffusion Equations</i>, Wiley Series in Mathematical and Computational Biology, John Wiley & Sons, Ltd., Chichester, 2003.
• [2] Du, Y. and Guo, Z., Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II, J. Differential Equations, 250 (2011), 4336-4366.
• [3] Du, Y. and Lin, Z. G., Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary, SIAM J. Math. Anal., 42 (2010), 377-405; Erratum: Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary, SIAM J. Math. Anal., 45 (2013), 1995-1996.
• [4] Du, Y. and Lou, B., Spreading and vanishing in nonlinear diffusion problems with free boundaries, preprint.
• [5] Kaneko, Y. and Yamada, Y., A free boundary problem for a reaction-diffusion equation appearing in ecology, Adv. Math. Sci. Appl., 21 (2011), 467-492.

Terms in the title (3)： 拡散方程式 ,  問題 ,  広がり