Analysis of standing waves for nonlinear Schroedinger equations with harmonic potential
Project/Area Number |
26800074
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Multi-year Fund |
Research Field |
Mathematical analysis
|
Research Institution | Tsuda College |
Principal Investigator |
|
Project Period (FY) |
2014-04-01 – 2017-03-31
|
Project Status |
Completed (Fiscal Year 2016)
|
Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
Keywords | 非線形シュレディンガー方程式 / 基底状態 / 散乱解 / 爆発解 / 一般化リュウビル・ゲルファンド方程式 / 特異解 / 分岐 / モース指数 / 大域挙動 / 散乱 / 爆発 / 定在波 / ビリアル恒等式 / 一意性 / 一般化リュウビル・ゲルファント問題 / エネルギー臨界 / 質量臨界 / リウビル・ゲルファント問題 / 折れ曲がり |
Outline of Final Research Achievements |
First result I obtained is concerned with the global dynamics of solutions to nonlinear Schrodinger equations. Second one is to study a bifurcation diagram of generalized Liouville-Gelfand equations.
|
Report
(4 results)
Research Products
(9 results)