Mathematical analysis of nonlinear partial differential equations describing interaction of several fields
| Project/Area Number |
21540190
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Kumamoto University |
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Principal Investigator |
WADA Takeshi 熊本大学, 大学院・自然科学研究科, 准教授 (70294139)
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| Co-Investigator(Kenkyū-buntansha) |
NAKAMURA Makoto 東北大学, 大学院・理学研究科, 准教授 (70312634)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 非線形偏微分方程式 / 適切性 / 相互作用 / 函数方程式論 / 非線形Schrodinger方程式 / 分散型方程式 / 波動方程式 |
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| Research Abstract |
We studied the well-posedness of nonlinear partial differential equations in mathematical physics and their systems. A given problem for a partial differential equation with initial or boundary conditions is called well-posed if the problem has a unique solution, and if the solution depends continuously on the data given in the problem. This is an important step to ensure that the equation correctly describes the phenomenon. In this research we proved the well-posedness of nonlinear Schrodinger equations and the Maxwell-Schrodinger system under appropriate conditions.
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Report
(4 results)
Research Products
(17 results)
