On analysis of interacting nonlocal waves
| Project/Area Number |
21540206
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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 | Hirosaki University (2010-2013)
Hokkaido University (2009) |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
TAKAMURA Hiroyuki 公立はこだて未来大学, システム情報科学部, 教授 (40241781)
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| Co-Investigator(Renkei-kenkyūsha) |
NAKAMURA Makoto 山形大学, 理学部, 教授 (70312634)
MACHIHARA Shuji 埼玉大学, 理学部, 准教授 (20346373)
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| Project Period (FY) |
2009-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 波動方程式 / ディラック方程式 / ハートリータイプ / 散乱問題 / 時間大域解 / 漸近挙動 / ハートリー型 / 重み付き関数 / 時間大域解存在 / 散乱理論 |
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| Research Abstract |
We studied the Cauchy and scattering problems for the wave equation of Hartree type. We obtained results on the existence of global solutions, blow-up in finite time, the existence of scattering operators and no scattering. We showed the existence of scattering operators under almost optimal conditions on potentials and initial data in terms of decay. We also proved the existence of scattering operators for the Dirac equation of Hartree type and the semirelativistic Hartree equation.
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Report
(6 results)
Research Products
(20 results)
