2010 Fiscal Year Final Research Report
Research of global behavior of classical solutions for quasilinear Wave equations
| Project/Area Number |
20540206
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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 |
Global analysis
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| Research Institution | Shizuoka University |
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Principal Investigator |
HOSHIGA Akira Shizuoka University, 工学部, 准教授 (60261400)
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| Co-Investigator(Kenkyū-buntansha) |
KATAYAMA Soichiro 和歌山大学, 教育学部, 教授 (70283942)
KUBO Hideo 東北大学, 情報科学研究科, 教授 (50283346)
KUROKAWA Yuki 米子工業高等専門学校, 一般科目, 講師 (50375375)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 波動方程式 / 零条件 / ライフスパン |
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| Research Abstract |
In this study, we succeeded in the classification of the sufficient conditions (null-conditions) for the global existence of the classical solutions to the system of nonlinear wave equations in 2 and 3 space dimensions, according to the type of the nonlinear terms (Null-form type, Non-resonance type and Nonlinear dissipation type). As development of the research, we also obtained precise evaluations to the lifespan of the classical solutions for the first order hyperbolic PDE systems with multiple propagation speeds and for the nonlinear elastic wave equations.
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