非線形放物型偏微分方程式の解の特異性と定常問題

トップ›研究者を探す›非線形放物型偏微分方程式の解の特異性と定常問題

代表研究者	内藤雄基
研究課題番号	KAKENHI-PROJECT-17K05333
研究種目	基盤研究(C)
研究分野	理工系数物系科学数学数学解析
研究機関	広島大学愛媛大学
研究分担者	猪奥倫左
研究期間開始年月日	2017/4/1
研究期間終了年度	2020
研究ステータス	完了 (2020/4/1)
配分額（合計）	4,420,000 (直接経費 :3,400,000、間接経費 :1,020,000)
配分額（履歴）	2019年度：1,430,000 (直接経費 :1,100,000、間接経費 :330,000) 2018年度：1,430,000 (直接経費 :1,100,000、間接経費 :330,000) 2017年度：1,560,000 (直接経費 :1,200,000、間接経費 :360,000)
キーワード	非線形解析非線形楕円型方程式非線形熱方程式自己相似解特異解楕円型偏微分方程式放物型偏微分方程式定常問題

研究成果

[学会発表] Blow-up criteria for the classical Keller-Segel model of chemotaxis in higher dimensions

内藤雄基 2021

[学会発表] Existence and uniqueness of singular solutions for supercritical semilinear elliptic equations

内藤雄基 2021

[雑誌論文] Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data

Naito Yuki 2020

[雑誌論文] Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations

Norisuke Ioku and Takayoshi Ogawa 2019

[学会発表] Existence and uniqueness of singular solutions for supercritical semilinear elliptic equations

内藤雄基 2019

[雑誌論文] Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state

Naito Yuki、Senba Takasi 2019

[雑誌論文] Non-uniqueness for a critical heat equation in two dimensions with singular data

Ioku Norisuke、Ruf Bernhard、Terraneo Elide 2019

[学会発表] Blow-up criteria for the simplest Keller-Segel model of chemotaxis in higher dimensions

Yuki Naito 2019

[学会発表] 特異定常解より大きい爆発形状を持つ不完全爆発解の存在について

内藤　雄基、仙葉　隆 2019

[雑誌論文] Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state

Naito Yuki、Senba Takasi 2019

[学会発表] Incomplete blow-up of solutions for semilinear heat equations with supercritical nonlinearity

内藤雄基 2019

[学会発表] Threshold solutions for semilinear heat equations with polynomial decay initial data

Yuki Naito 2019

[学会発表] Blow-up criteria for the parabolic-elliptic Keller-Segel system in higher dimensions

内藤雄基 2019

[学会発表] Threshold solutions for semilinear heat equations with slowly decaying initial data

Yuki Naito 2019

[雑誌論文] Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data

Yuki Naito 2018

[学会発表] Singular extremal solutions for supercritical elliptic equations in a ball

内藤雄基 2018

[学会発表] A shooting approach to backward self-similar solutions for semilinear heat equations

内藤雄基 2018

[学会発表] Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data

内藤雄基 2018

[雑誌論文] Existence and nonexistence of solutions for the heat equation with a superlinear source term

Yohei Fujishima and Norisuke Ioku 2018

[学会発表] 非線形熱方程式の不完全爆発解の存在について

内藤雄基 2018

[雑誌論文] Singular extremal soluitons for supercritical elliptic equations in a ball

Yasuhito Miyamoto and Yuki Naito 2018

[学会発表] An ODE approach to backward self-similar solutions for semilinear heat equations

Yuki Naito 2018

[雑誌論文] Rectifiable and nonrectifiable solution curves of half-linear differential systems

Yuki Naito, Mervan Pasic, Satoshi Tanaka 2018

[学会発表] Incomplete blow-up of solutions for semilinear heat equations with supercritical nonlinearity

内藤雄基 2018

[学会発表] Incomplete blow-up solutions for semilinear heat equations with supercritical nonlinearity

Yuki Naito 2018

[学会発表] Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data

内藤　雄基 2018

[学会発表] Singular sextremal solutions for supercritical elliptic equations in a ball

宮本安人、内藤雄基 2018

[学会発表] Positive singular solutions for semilinear elliptic equationswith supercritical nonlinearity

Yuki Naito 2018

[雑誌論文] Separation structure of radial solutions for semilinear elliptic equations with exponential nonlinearity

Soohyun Bae and Yuki Naito 2018

[学会発表] Asymptotically self-similar behavior of global solutions to semilinear heat equations

Yuki Naito 2017

[学会発表] Singular sextremal solutions for supercritical elliptic equations in a ball

Yuki Naito 2017

[学会発表] Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data

内藤雄基 2017

[学会発表] Asymptotically self-similar behavior of global solutions to semilinear heat equations

Yuki Naito 2017