Art

J-GLOBAL ID：201602220786063097   Reference number：16A0815162

L_p-Estimates of Solutions to n-Dimensional Parabolic-Parabolic System for Chemotaxis with Subquadratic Degradation

準二次劣化する化学走化性においてn次元放物線-放物線系へのL_p推定解

Author (2)： Nakaguchi Etsushi (Tokyo Medical and Dental University) ,  Osaki Koichi (Kwansei Gakuin University)
Material： Funkcialaj Ekvacioj. International Series  (Funkcialaj Ekvacioj)
Volume： 59  Issue： 1  Page： 51-66(J-STAGE)  Publication year： 2016 
JST Material Number： L4931A  ISSN： 0532-8721  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *chemotaxis ,  degradation(alteration) ,  parabola ,  chemotactic factor ,  solution(mathematics)
Semi thesaurus term： *chemotaxis ,  chemoattractant ,  global property ,  globally optimal solution

Author keywords (4)： Chemotaxis ,  Logistic source ,  L_p-estimates ,  Global existence

JST classification (1)： Plant physiology in general  (EH02010Y)

Reference (20)：

• [1] Alikakos, N. D., L^p bounds of solutions of reaction-diffusion equations, Comm. Partial Differential Equations, 4 (1979), 827-868.
• [2] Keller, E. F. and Segel, L. A., Initiation of slime mold aggregation viewed as an instability, J. Theor. Biol., 26 (1970), 399-415.
• [3] Herrero, M. A. and Velázquez, J. J. L., A blow-up mechanism for a chemotaxis model,<! > Ann. Scoula Norm. Sup. Pisa Cl. Sci. (4), <b>24</b> (1997), 633-683.
• [4] Horstmann, D. and Wang, G., Blow-up in a chemotaxis model without symmetry assumptions, European J. Appl. Math., 12 (2001), 159-177.
• [5] Horstmann, D. and Winkler, M., Boundedness vs. blow-up in a chemotaxis system, J. Differential Equations, 215 (2005), 52-107.

Terms in the title (6)： 化学走化性 ,  次元 ,  放物線 ,  LP ,  推定 ,  解