Rchr
J-GLOBAL ID：201601004463264529
Update date: Feb. 01, 2024
Kaneko Yuki
カネコ ユウキ | Kaneko Yuki
Affiliation and department：
Research field (3)：
Applied mathematics and statistics
, Basic mathematics
, Mathematical analysis
Research keywords (6)：
反応拡散系
, 自由境界問題
, 非線形楕円型方程式
, 数理モデル
, 数値シミュレーション
, 非線形解析
Research theme for competitive and other funds (5)：
- 2023 - 2028 多安定反応拡散系に現れるテラス型進行波と伝播現象の研究
- 2021 - 2027 Quantitative analysis for nonlinear evolution equations of diffusion type
- 2019 - 2024 反応拡散方程式系によって生成される界面運動と伝播の研究
- 2013 - 2018 Variational study of nonlinear elliptic problems
- 2014 - 2016 個体拡散モデルに関係する非線形拡散方程式の自由境界問題の可解性と解の漸近挙動
Papers (11)：
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Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada. A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions II: Asymptotic profiles of solutions and radial terrace solution. Journal de Mathematiques Pures et Appliquees. 2023
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Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada. A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions III: General case. Discrete and Continuous Dynamical Systems. 2023
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Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada. A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions I : Classification of asymptotic behavior. Discrete & Continuous Dynamical Systems. 2022. 42. 6. 2719-2745
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Maho Endo, Yuki Kaneko, Yoshio Yamada. Free boundary problem for a reaction-diffusion equation with positive bistable nonlinearity. Discrete & Continuous Dynamical Systems. 2020. 40. 6. 3375-3394
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Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada. Asymptotic profiles of solutions and propagating terrace for a free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity. SIAM Journal on Mathematical Analysis. 2020. 52. 1. 65-103
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MISC (2)：
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Kaneko Yuki, Yamada Yoshio. On a population model with a free boundary and related elliptic problems (Progress in Qualitative Theory of Ordinary Differential Equations). RIMS Kokyuroku. 2014. 1901. 69-78
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Kaneko Yuki, Yamada Yoshio. A free boundary problem modeling the invasion of species (Analysis on non-equilibria and nonlinear phenomena : from the evolution equations point of view). RIMS Kokyuroku. 2012. 1792. 108-117
Lectures and oral presentations (31)：
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Positive bistable型非線形項をもつ反応拡散方程式の自由境界問題における解の漸近的形状について
(日本数学会年会 2019)
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反応拡散方程式の自由境界問題における様々なspreading解について
(One day workshop「Irreversibility and Evolution Equations」 2019)
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反応拡散方程式の自由境界問題に対する解の漸近速度と漸近形状の解析
(第 46 回南大阪応用数学セミナー 2018)
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Spreading and vanishing in a free boundary problem for nonlinear diffusion equations with a given forced moving boundary
(日本数学会秋季総合分科会 2018)
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反応拡散方程式の自由境界問題におけるspreading解の漸近形状と漸近速度
(日本数学会秋季総合分科会 2018)
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Professional career (1)：
Work history (7)：
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
