Potential analysis of various function spaces and application
| Project/Area Number |
22540192
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Hiroshima Institute of Technology (2011-2013)
Hiroshima University (2010) |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
大野 貴雄 大分大学 (40508511)
|
|---|
| Project Period (FY) |
2010-04-01 – 2014-03-31
|
| Project Status |
Completed (Fiscal Year 2013)
|
| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
|---|
| Keywords | ポテンシャル解析 / 関数空間 / 偏微分方程式 / ソボレフの定理 / 変動指数 / 極大関数 / Morrey 空間 / 調和関数 / 複素解析 |
|---|
| Research Abstract |
To develop various phenomena surrounding our nature by applying Mathematical method, a theory of partial differential equation is a crucial mathematical tool. To do so, our first task is to find a suitable partial differential equation describing a phenomenon and analyze a solution of the equation, and then we can predict our near future. For this purpose, function spaces play an important role.
In our study, we extend the famous theory developed by Sobolev and investigate tremendous phenomena as applications. It will be expected to give further development of our theory for human welfare.
|
Report
(5 results)
Research Products
(18 results)
