| Co-Investigator(Kenkyū-buntansha) |
KAWASHIMA Shuichi 九州大学, 数理学研究院, 教授 (70144631)
MISAWA Masashi 熊本大学, 自然科学研究科, 教授 (40242672)
TAKAGI Izumi 東北大学, 理学研究科, 教授 (40154744)
ISHIGE Kazuhiro 東北大学, 理学研究科, 教授 (90272020)
中村 誠 東北大学, 大学院・理学研究科, 准教授 (70312634)
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| Budget Amount *help |
¥47,840,000 (Direct Cost: ¥36,800,000、Indirect Cost: ¥11,040,000)
Fiscal Year 2012: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000)
Fiscal Year 2011: ¥8,710,000 (Direct Cost: ¥6,700,000、Indirect Cost: ¥2,010,000)
Fiscal Year 2010: ¥9,360,000 (Direct Cost: ¥7,200,000、Indirect Cost: ¥2,160,000)
Fiscal Year 2009: ¥9,490,000 (Direct Cost: ¥7,300,000、Indirect Cost: ¥2,190,000)
Fiscal Year 2008: ¥11,440,000 (Direct Cost: ¥8,800,000、Indirect Cost: ¥2,640,000)
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| Research Abstract |
The main reseacher T. Ogawa researched several nonlinear partial differential equations with critical structure and find various criticality in each problems. He studied the following topics with colabolators. Two dimensional drift-diffusion system in the critical Besov spaces and established maximal regularity for the heat equation in non-reflexivie Banach spaces. Higher order expansion of the solution for the drift-diffusion system in higher space dimensions, the global existence for the nonlinear damped wave system, the critical Sobolev inequality with logarithmic type and generalization to abstract Besov spaces, WKB approximation for nonlinear Schrodinger equations with Poisson equations, the scaling critical solvabilityfor quadratic nonlinear Schrodinger equation and critical well-posedeness in lower space dimensions.
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