Hamilton flows and Partial Differential Equations
Project/Area Number |
18540158
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Basic analysis
|
Research Institution | University of Tsukuba |
Principal Investigator |
KAJITANI Kunihiko University of Tsukuba, 名誉教授 (00026262)
|
Project Period (FY) |
2006 – 2009
|
Project Status |
Completed (Fiscal Year 2009)
|
Budget Amount *help |
¥4,150,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥750,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
|
Keywords | キルヒホフ方程式 / 波動方程式 / 大域解 / 散乱問題 / 解の減衰 / ノントラッピング条件 / 時間大域解 / ストークス方程式 / L^p評価 / ハミルトン流 / L^評価 / 解の時間減衰 / 波動作用素 / 解の散乱 / 摂動された波動方程式 / 時間減衰 / ジュブレイクラス / ストースク方程式 / ノントラッピンク条件 / 散乱理論 |
Research Abstract |
Under the non-trapping condition we proved that there exist the global solution of the Cauchy problem for Kirchhoff equations and moreover that the wave operator and the scattering operator for perturbed Kirchhoff equations.
|
Report
(6 results)
Research Products
(36 results)