トップ研究者を探す波動現象とプラズマ現象に対応する非線形偏微分方程式の解構造の解析

波動現象とプラズマ現象に対応する非線形偏微分方程式の解構造の解析

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-21540186
研究種目 基盤研究(C)
研究分野 理工系
数物系科学
数学
基礎解析学
研究機関 徳島大学
代表研究者 小野 公輔
研究期間 開始年月日 2009/4/1
研究期間 終了年度 2013
研究ステータス 完了 (2013/4/1)
配分額(合計) 4,290,000 (直接経費 :3,300,000、間接経費 :990,000)
配分額(履歴) 2013年度:910,000 (直接経費 :700,000、間接経費 :210,000)
2012年度:780,000 (直接経費 :600,000、間接経費 :180,000)
2011年度:910,000 (直接経費 :700,000、間接経費 :210,000)
2010年度:780,000 (直接経費 :600,000、間接経費 :180,000)
2009年度:910,000 (直接経費 :700,000、間接経費 :210,000)
キーワード 準線形退化型波動方程式
非線形偏微分方程式
dissipative wave
decay rate
Vlasov-Poisson system

研究成果

[雑誌論文] Decay estimates of solutions for mildly degenerate Kirchhoff type dissipative wave equations in unbounded domains

Kosuke Ono 2014

[雑誌論文] Lower decay estimates for non-degenerate dissipative wave equations of Kirchhoff type

Kosuke Ono 2014

[学会発表] Global solvability and decay estimates for mildly degenerate dissipative wave equations of Kirchhoff type

小野公輔 2014

[雑誌論文] Global existence and decay properties of solutions for coupled degenerate dissipative hyperbolic systems of Kirchhoff type

Kosuke Ono 2014

[学会発表] On asymptotic behaviour for nondegenerate Kirchhoff type dissipative wave equations

小野公輔 2014

[学会発表] Global solvability and decay estimates for mildly degenerate dissipative wave equations of Kirchhoff type

小野公輔 2014

[学会発表] On asymptotic behaviour for nondegenerate Kirchhoff type dissipative wave equations

小野公輔 2014

[雑誌論文] On decay estimates of solutions for some degenerate nonlinear Kirchhoff strings with dissipation

Kosuke Ono 2013

[雑誌論文] Asymptotic behavior of solutions for mildly degenerate quasilinear hyperbolic equations

Kosuke Ono 2013

[雑誌論文] On asymptotic behavior for degenerate hyperbolic equations with weak dissipation

Kosuke Ono 2013

[学会発表] On decay estimates for some degenerate nonlinear Kirchhoff strings with dissipation

小野公輔 2013

[雑誌論文] On decay estimates of solutions for some degenerate nonlinear Kirchhoff strings with dissipation

Kosuke Ono 2013

[雑誌論文] On asymptotic behavior for degenerate hyperbolic equations with weak dissipation

Kosuke Ono 2013

[雑誌論文] Asymptotic behavior of solutions for mildly degenerate quasilinear hyperbolic equations

Kosuke Ono 2013

[学会発表] On decay estimates for some degenerate nonlinear Kirchhoff strings with dissipation

小野公輔 2013

[学会発表] 退化した消散型波動方程式の時間大域的可解性と減衰評価式

小野公輔 2012

[学会発表] 退化した消散型波動方程式の時間大域的可解性と減衰評価式

小野公輔 2012

[雑誌論文] On existence of global solutions for some mildly degenerate nonlinear Kirchhoff strings with linear dissipation

小野公輔 2012

[雑誌論文] On existence of global solutions for some mildly degenerate nonlinear Kirchhoff strings with linear dissipation

Kosuke Ono 2012

[学会発表] Global solvability and decay estimates for mildly degenerate dissipative wave equations of Kirchhoff type

小野公輔 2011

[雑誌論文] Global existence and decay rate for a coupled degenerate hyperbolic system with dissipation

Kosuke Ono 2011

[雑誌論文] Energy decay for a dissipative wave equation with compactly supported data

Kosuke Ono 2011

[学会発表] Global Existence and Decay Estimates of Solutions for Mildly Degenerate Dissipative Wave Equations of Kirchhoff Type

小野公輔 2011

[雑誌論文] Decay estimates for coupled degenerate hyperbolic system with strong damping

Kosuke Ono 2011

[雑誌論文] On sharp decay estimates of solutions for mildly degenerate dissipative wave, equations of Kirchhoff type

小野公輔 2011

[雑誌論文] On sharp decay estimates of solutions for mildly degenerate dissipative wave equations of Kirchhoff type

小野公輔 2011

[雑誌論文] Energy Decay for a dissipative wave equation with compactly supported data

小野公輔 2011

[雑誌論文] Global Exlstence and Decay Rate for a Coupled Degenerate Hyperbolic System with Dissipation

小野公輔 2011

[雑誌論文] On Decay Properties of Solutions for Degenerate Strongly Damped Wave equations of Kirchhoff Type

小野公輔 2011

[雑誌論文] On sharp decay estimates of solutions for mildly degenerate dissipative wave equations of Kirchhoff type

Kosuke Ono 2011

[雑誌論文] Decay Estimates for Coupled Degenerate Hyperbolic System with Strong Damping

小野公輔 2011

[雑誌論文] On decay properties of solutions for degenerate strongly damped wave equations of Kirchhoff type

Kosuke Ono 2011

[学会発表] Global solvability and decay estimates for mildly degenerate dissipative wave equations of Kirchhoff type

小野公輔 2011

[雑誌論文] A lower decay estimate for a degenerate Kirchhoff type wave equation with strong dissipation

小野公輔 2010

[雑誌論文] A lower decay estimate for a degenerate Kirchhoff type wave equation with strong dissipation

Kosuke Ono 2010

[雑誌論文] On decay properties of solutions for the Vlasov-Poisson system

小野公輔 2009

[雑誌論文] On decay properties of solutions for the Vlasov--Poisson system

Kosuke Ono 2009