数値計算アルゴリズムを用いた平均曲率流の解析的研究

トップ›研究者を探す›数値計算アルゴリズムを用いた平均曲率流の解析的研究

代表研究者	石井克幸
研究課題番号	KAKENHI-PROJECT-17540117
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	丸尾健二
研究分担者	影山康夫
研究分担者	桑村雅隆
研究分担者	内藤雄基
研究分担者	足立匡義
研究分担者	大沼正樹
研究期間開始年月日	2005/4/1
研究期間終了年度	2007
研究ステータス	完了 (2007/4/1)
配分額（合計）	3,730,000 (直接経費 :3,400,000、間接経費 :330,000)
配分額（履歴）	2007年度：1,430,000 (直接経費 :1,100,000、間接経費 :330,000) 2006年度：1,100,000 (直接経費 :1,100,000) 2005年度：1,200,000 (直接経費 :1,200,000)
キーワード	平均曲率流反応拡散方程式半線形放物型方程式半線形楕円型方程式 Stark Hamiltonian レゾルベント評価数値計算アルゴリズム非線形偏微分方程式粘性解 Mean curvature flow Reaction-diffustion equations Semilinear heat equations Semilinear elliptic equations Stark Hamiltonian Resolvnet estimates

研究成果

[雑誌論文] Self Similarity in Chemotaxis Systems

Y. Naito 2008

[雑誌論文] Self-Similarity in Chemotaxis Systems

Y. Naito 2008

[雑誌論文] Optimal rate of convergence to the motion by mean curvature with a driving force.

Katsuyuki Ishii 2007

[学会発表] Multiple continuation of solutions after blow up for semilinear heat equations

内藤雄基 2007

[雑誌論文] Positive solutions for semilinear elliptic equations with singular forcing terms

Y Naito 2007

[雑誌論文] Positive solutions for semilinear elliptic equations with singular forcing terms

Y. Naito, T. Sato 2007

[雑誌論文] A variational approach to self-similar solutions for semilinear heat equations

Y Naito 2007

[雑誌論文] Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity

Yuki Naito 2007

[雑誌論文] Existence of type II blowup solutions for a semilinear heat equationwith critical nonlinearity

Y. Naito, T. Suzuki 2007

[雑誌論文] A variational approach to self-similar solutions for semilinear heat equations

Y. Naito 2007

[雑誌論文] Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity.

Yuki Naito, Takashi Suzuki 2007

[雑誌論文] Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity

Y. Naito 2007

[雑誌論文] Positive solutions for semilinear elliptic equations with singular forcing terms

Yuki Naito 2007

[学会発表] Multiple continuation of solutions after blow up for semilinear heat Equations

Y. Naito T. Senba 2007

[雑誌論文] Positive solutions for semilinear elliptic equations with singular forcing terms.

Yuki Naito, Tokushi Sato 2007

[学会発表] Self-similar solutions for semilinear heat equations and its roles

Y. Naito 2006

[学会発表] Multiplicity of solutions to the boundary value problem for a class of ordinary differential equaitons with the one-dimensional p-Laplacian,

内藤雄基 2006

[雑誌論文] An ODE approach to the multiplicity of self-similar solutions for semilinear heat equations

Y. Naito 2006

[雑誌論文] Asymptotically self-similar solutions for the parabolie systems modelling chemotaxis

Yuki Naito 2006

[雑誌論文] An ODE approach to the multiplicity of self-similar solutions for semilinear heat equations

Yuki Naito 2006

[雑誌論文] Asymptotically self-similar solutions for the parabolic systems modelling chemotaxis

Y. Naito 2006

[雑誌論文] An ODE approach to the multiplicity of self-similar solutions for semilinear heat equations

Y. Naito 2006

[学会発表] Multiplicity of solutions to the boundary value problem for a class of ordinary differential equaitons with the one-dimensional p-Laplacian

Y. Naito, S. Tanaka 2006

[雑誌論文] Asymptotically self-similar solutions for the parabolic systems modeling Chemotaxis

Y. Naito 2006

[学会発表] 非線形熱方程式の自己相似解とその役割

内藤雄基 2006

[雑誌論文] Optimal rate of convergence of the Bence-Merriman-Osher algorithm for motion by mean curvature

Katsuyuki Ishii 2005

[雑誌論文] A variational approach to self-similar solutions for semilinear heat equations

Yuki Naito

[雑誌論文] An ODE approach to the multiplicity of self-similar solutions for semilinear heat equations

Yuki Naito

[雑誌論文] Asymptotically self-similar solutions for the parabolic systems modelling chemotaxis,

Yuki Naito

[雑誌論文] Self-similar solutions for a semilinear heat equation with critical Sobolev exponent

Y. Naito

[雑誌論文] Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional p-Laplacian

Y. Naito, S. Tanaka

[雑誌論文] Self-similar solutions for a semilinear heat equation with critical Sobolev exponent

Y. Naito

[雑誌論文] Optimal rate of convergnece to the motion by mean curvature with a driving force

Katsuyuki Ishii

[雑誌論文] Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional p-Laplacian

Y. Naito