On steady-state problems for some nonlinear reaction-diffusion systems ある非線形反応拡散方程式系の定常問題について
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Bibliographic Information
- Title
-
On steady-state problems for some nonlinear reaction-diffusion systems
- Other Title
-
ある非線形反応拡散方程式系の定常問題について
- Author
-
中島, 主恵
- Author(Another name)
-
ナカシマ, キミエ
- University
-
早稲田大学
- Types of degree
-
博士(理学)
- Grant ID
-
甲第1352号
- Degree year
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1999-03-15
Note and Description
博士論文
制度:新 ; 文部省報告番号:甲1352号 ; 学位の種類:博士(理学) ; 授与年月日:1999-03-15 ; 早大学位記番号:新2790 ; 理工学図書館請求番号:2357
Table of Contents
- Contents / (0004.jp2)
- Introduction / p1 (0006.jp2)
- Part I / p6 (0011.jp2)
- Chapter1.On positive steady-states for some reaction diffusion system / p7 (0012.jp2)
- §1.Introduction / p7 (0012.jp2)
- §2.Existence / p8 (0013.jp2)
- §3.Uniqueness and stability / p13 (0018.jp2)
- Chapter2.Positive steady states for prey-predator models with cross-diffusion / p19 (0024.jp2)
- §1.Introduction / p19 (0024.jp2)
- §2.Main results / p21 (0026.jp2)
- §3.Preliminaries / p26 (0031.jp2)
- §4.Existence of positive solutions / p31 (0036.jp2)
- §5.Nonexistence of positive solutions / p38 (0043.jp2)
- Appendix / p43 (0048.jp2)
- Figures / p49 (0054.jp2)
- Chapter3.Multiple existence of spatially inhomogeneous steady-states for competition diffusion systems / p53 (0058.jp2)
- §1.Introduction / p53 (0058.jp2)
- §2.Decomposition theorem / p55 (0060.jp2)
- §3.Proof of decomposition theorem / p56 (0061.jp2)
- §4.Radial solutions for Lotka-Volterra competition diffusion system / p61 (0066.jp2)
- §5.Another approach to homogeneous problem in one dimension / p66 (0071.jp2)
- Part II / p76 (0081.jp2)
- Chapter4.Stable transition layers in a balanced bistable equation / p77 (0082.jp2)
- §1.Introduction / p77 (0082.jp2)
- §2.Preliminaries / p80 (0085.jp2)
- §3.A symmetric case / p82 (0087.jp2)
- §4.General case / p88 (0093.jp2)
- List of papers / p92 (0097.jp2)
