2013 Fiscal Year Final Research Report
Analysis of the solution structure of non-linear partial differential equations corresponding to the wave phenomena and plasma phenomena
| Project/Area Number |
21540186
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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 | The University of Tokushima |
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Principal Investigator |
ONO KOSUKE 徳島大学, 大学院ソシオ・アーツ・アンド・サイエンス研究部, 准教授 (00263806)
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| Project Period (FY) |
2009-04-01 – 2014-03-31
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| Keywords | 準線形退化型波動方程式 / 非線形偏微分方程式 |
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| Research Abstract |
I conducted a study of mathematics relating to non-linear dissipative wave equations describing wave phenomena and Vlasov type equations describing plasma phenomena. I summarized the results of this research as academic papers and I published in magazines at home and abroad.For example, I got the results on the existence and uniqueness of global solutions and the asymptotic behaviors from the top and bottom of the solutions for degenerate quasi-linear hyperbolic partial differential equations to the initial boundary value problem. Further, I investigated on the conditions of the wave coefficient and the initial data for obtaining the results.
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