An analysis on time global properties of solutions to nonlinear wave equations
| Project/Area Number |
24740106
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Global analysis
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| Research Institution | Toyama Prefectural University |
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Principal Investigator |
KAZUYUKI Doi 富山県立大学, 工学部, 講師 (80608331)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 非線型波動 / 時間大域解 / 有限時刻爆発 |
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| Outline of Final Research Achievements |
We studied time global properties of solutions for nonlinear disspersive and wave equations, respectively.
For nonlinear dispersive equations, we investigated time global properties of special solutions with a spacial function as the initial data.
For nonlinear wave equations, we presented an improvement of the proof on the existence of small data solutions with the null condition given by Yokoyama in 2000.
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Report
(4 results)
Research Products
(5 results)
