平均曲率流に対する近似問題と正則性・特異性に関する研究

トップ›研究者を探す›平均曲率流に対する近似問題と正則性・特異性に関する研究

代表研究者	石井克幸
研究課題番号	KAKENHI-PROJECT-24540124
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一般(含確率論・統計数学)
研究機関	神戸大学
研究分担者	内藤雄基
研究分担者	上田好寛
連携研究者	高橋太
連携研究者	桑村雅隆
連携研究者	大沼正樹
連携研究者	赤木剛朗
連携研究者	石渡哲哉
研究期間開始年月日	2012/4/1
研究期間終了年度	2014
研究ステータス	完了 (2014/4/1)
配分額（合計）	5,070,000 (直接経費 :3,900,000、間接経費 :1,170,000)
配分額（履歴）	2014年度：1,820,000 (直接経費 :1,400,000、間接経費 :420,000) 2013年度：1,950,000 (直接経費 :1,500,000、間接経費 :450,000) 2012年度：1,300,000 (直接経費 :1,000,000、間接経費 :300,000)
キーワード	平均曲率流近似アルゴリズム等高面の方法粘性解正則性特異性非線形偏微分方程式近似問題漸近挙動

研究成果

[学会発表] 非線形熱方程式に対する Cauchy 問題の解の漸近的性質

内藤雄基 2014

[雑誌論文] Global attractivity and convergence rate in the weighted norm for a supercritical semilinear heat equation

Yuki Naito 2014

[雑誌論文] Existence and separation of positive radial solutions for semilinear elliptic equations

Soohyun Bae, Yuki Naito 2014

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

内藤雄基 2014

[雑誌論文] Convergence rate in the weighted norm for a semilinear heat equation with supercritical nonlinearity

Yuki Naito 2014

[雑誌論文] A remark on self-similar solutions for a semilinear heat equation with critical Sobolev exponent

Yuki Naito 2014

[学会発表] 非線形熱方程式の解の漸近挙動と自己相似解

内藤雄基 2013

[学会発表] An approximation scheme for the planar motion by crystalline curvature

Katsuyuki Ishii 2013

[学会発表] Global behavior of solutions to semilinear heat equations

Yuki Naito 2013

[学会発表] An approximation scheme for the planar motion by crystalline curvature

Katsuyuki Ishii 2013

[雑誌論文] Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space

Yuki Naito and Takasi Senba 2013

[雑誌論文] Remarks on singular Sturm comparison theorems

Yuki Naito 2012

[学会発表] On the convergence of an area minimizing scheme for anisotropic mean curvature flow

Katsuyuki Ishii 2012

[学会発表] On the convergence of an area minimizing scheme for anisotropic mean curvature flow

Katsuyuki Ishii 2012

[学会発表] On the convergence of an area minimizing scheme for anisotropic mean curvature flow

Katsuyuki Ishii 2012

[学会発表] Separation structure of positive radial solutions for semilinear　elliptic equations

内藤雄基 2012

[学会発表] Global attractivity of self-similar solutions for semilinear heat equations

内藤雄基 2012

[学会発表] On the convergence of an area minimizing scheme for anisotropic mean curvature flow

Katsuyuki Ishii 2012

[学会発表] 非線形熱方程式の解の漸近挙動と自己相似解

内藤雄基 2012

[雑誌論文] An area-minimizing scheme for anisotropic mean curvature flow

Tokuhiro Eto, Yoshikazu Giga and Katsuyuki Ishii 2012

[学会発表] Separation structure of positive radial solutions for semilinear elliptic equations

Yuki Naito 2012

[学会発表] On the convergence of an area minimizing scheme for anisotropic mean curvature flow

Katsuyuki Ishii 2012

[学会発表] Global attractivity properties of stationary solutions for semilinear heat equations

Yuki Naito 2012

[雑誌論文] Blow-up behavior of solutions to a parabolic-elliptic system on higher dimensional domains

Yuki Naito and Takasi Senba 2012

[学会発表] Convergence of an approximation scheme for the mean curvature flow and its application

Katsuyuki Ishii

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

Yuki Naito 0

[学会発表] Separation structure of positive radaial solutions for semilinear elliptic equations

Yuki Naito

[学会発表] Critical phenomena in the separation property for seminilear elliptic equaitons

内藤雄基 0

[学会発表] Global attractivity in the weighted norm fora supercritical semilinear heat equation

Yuki Naito

[学会発表] Mathematical analysis to some approximate problems for mean curvature flow

Katsuyuki Ishii

[学会発表] Separation structure of positive radial solutions for semilinear elliptic equations

内藤雄基