Energy estimates for hyperbolic equations in unbounded domains and their applications
| Project/Area Number |
19540184
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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 | Hiroshima University |
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Principal Investigator |
IKEHATA Ryo Hiroshima University, 大学院・教育学研究科, 准教授 (10249758)
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| Co-Investigator(Kenkyū-buntansha) |
KAWASHITA Mishio 広島大学, 大学院・理学研究科, 准教授 (80214633)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 関数方程式 / 非有界領域 / 波動方程式 / 摩擦係数 / 変数係数 / 劣臨界 / エネルギー減衰 / 臨界指数 / 非線形問題 / 摩擦項 / ポテンシャル / 有限伝播速度 / 摩擦 / 大域存在 / 爆発 / 局所エネルギー / 減衰率 |
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| Research Abstract |
Firstly we determined the decay rate of the energy for some semi-linear wave equations with a damping coefficient decaying critically near infinity. Secondly we obtained the local energy decay property in an exterior domain for the linear wave equations with anisotropic variable coefficients, and finally we found the so called Fujita type critical exponent for some semi-linear damped wave equations with a sub-critical potential.
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Report
(4 results)
Research Products
(17 results)
