Large-time behavior of solutions to the drift-diffusion equation
Project/Area Number |
23740117
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Multi-year Fund |
Research Field |
Global analysis
|
Research Institution | Hirosaki University |
Principal Investigator |
|
Project Period (FY) |
2011-04-28 – 2015-03-31
|
Project Status |
Completed (Fiscal Year 2014)
|
Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2014: ¥130,000 (Direct Cost: ¥100,000、Indirect Cost: ¥30,000)
Fiscal Year 2013: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
Keywords | 関数方程式 / 関数解析 / 実解析 / 応用数学 |
Outline of Final Research Achievements |
In this plan, we developed the asymptotic expansion of solutions to the drift-diffusion equation which is described from the model of a semiconductor. Since an electron on a semiconductor may jump from a dopant into another, the dissipation of them is written by the fractional Laplacian. We proved that the asymptotic expansion
|
Report
(5 results)
Research Products
(21 results)