トップ›研究者を探す›非線形放物型偏微分方程式の自己相似構造と解の特異性

非線形放物型偏微分方程式の自己相似構造と解の特異性

KAKEN 科学研究費助成事業データベース で見る
研究課題番号 KAKENHI-PROJECT-17540194
研究種目 基盤研究(C)
研究分野 理工系
数物系科学
数学
大域解析学
研究機関 神戸大学
代表研究者 内藤 雄基
研究分担者 石井 克幸
研究分担者 桑村 雅隆
研究分担者 鈴木 貴
研究分担者 佐藤 得志
研究分担者 田中 敏
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） 3,570,000 (直接経費 :3,300,000、間接経費 :270,000)
配分額（履歴） 2007年度：1,170,000 (直接経費 :900,000、間接経費 :270,000)
2006年度：1,100,000 (直接経費 :1,100,000)
2005年度：1,300,000 (直接経費 :1,300,000)
キーワード 非線形問題
自己相似解
放物型偏微分方程式
変分法
走化性方程式系
自己相似性
楕円型偏微分方程式
変分問題
非線形放物型偏微分方程式
非線形楕円型偏微分方程式
変分的手法
Nonlinear Problem
Self-similar solutions
Parabolic partial differential equaitons
Variationa method
Chemotaxis system

研究成果

[雑誌論文] Self-Similarity in Chemotaxis Systems

Yuki Naito 2008

[雑誌論文] Self-Similarity in Chemotaxis Systems

Y. Naito, T. Suzuki 2008

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

Katsuyuki Ishii 2007

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

Yuki Naito 2007

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

Yuki Naito 2007

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

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

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] 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 equation with critical nonlinearity

Yuki Naito 2007

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

Y. Naito, T. Suzuki 2007

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

内藤 雄基 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] A variational approach to self-similar solutions for semilinear heat equations

Yuki Naito 2007

[学会発表] On self-similar solutions for nonlinear heat equations

Y. 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,

Yuki Naito 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] Interface vanishing for solutions to Maxwell and Stokes systems

Takayuki Kobayashi 2006

[学会発表] Existence of type II blowup solutions for a semilinear heat equatiotl with critical nonlinearity

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-Lapincian

S. Tanaka, Y. 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] Interface vanishing for solutions to Maxwell and Stokes systems

Takayuki Kobayashi 2006

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

Yuki Naito 2006

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

Y. Naito 2006

[学会発表] Self-similarity and blowup rates for a semilinear heat equation with critical nonlinearity

Y. Naito 2005

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

Katsuyuki Isii 2005

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

Katsuyuki Isii 2005

[学会発表] Self-similar solutions for a semilinear heat equation with critical nonlinearity

Y. Naito 2005

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

Yuki Naito

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

Yuki Naito

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

Yuki Naito

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

Yuki 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] Optimal rate of convergnece to the motion by mean curvature with a driving force

Katsuyuki Ishii

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

Yuki Naito

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

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] Self-similar solutions for a semilinear heat equation with critical Sobolev exponent

Y. Naito