2010 Fiscal Year Final Research Report
Studies on well-posedness for semilinear evolution equations with constraints and their applications
| Project/Area Number |
20540173
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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 |
MATSUMOTO Toshitaka Hiroshima University, 大学院・理学研究科, 助教 (20229561)
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| Co-Investigator(Kenkyū-buntansha) |
KOBAYASHI Yoshikazu 中央大学, 理工学部, 教授 (80092691)
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| Co-Investigator(Renkei-kenkyūsha) |
TANAKA Naoki 静岡大学, 理学部, 教授 (00207119)
OHARU Shinnosuke 中央大学, 理工学部, 教授 (40063721)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 制約条件 / 半線形方程式 / 適切性 / リプシッツ作用素半群 / 正則性 / 近似理論 / 積公式 |
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| Research Abstract |
operators and well-posedness for semilinear evolution equations. We extended the former results on the generation of quasi-contractive semigroups and applied the obtained results to show the well-posedness of the complex Ginzburg-Landau equation, drift-diffusion equations, 2-dimensional Navier-Stokes equation and strongly degenerate parabolic equations. We also obtained a convergence theorem, an approximation theorem and product formulas of Chernoff type for semigroups of Lipschitz operators.
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