New Frontiers in Kinetic Equation Theory
| Project/Area Number |
26887008
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Mathematical analysis
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| Research Institution | Saitama University |
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Principal Investigator |
BEZ Neal 埼玉大学, 研究機構研究企画推進室, 准教授 (30729843)
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| Research Collaborator |
Bennett Jonathan University of Birmingham
Gutierrez Susana University of Birmingham
Jeavons Chris Waseda University
Lee Sanghyuk Seoul National University
Machihara Shuji Saitama University
Ozawa Tohru Waseda University
Saito Hiroki Kogakuin University
Sugimoto Mitsuru Nagoya University
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| Project Period (FY) |
2014-08-29 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 運動輸送方程式 / 分散型方程式 / 波動方程式 / 時空間評価式 / Kinetic equations / Dispersive equations / Wave equation / Smoothing estimates |
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| Outline of Final Research Achievements |
Significant progress on the fundamental theory of the kinetic transport equation has been obtained through the use of techniques from harmonic analysis. In particular, techniques developed in connection with the Fourier restriction conjecture were applied. Additionally, using similar techniques, this research has also pushed forward the theory of another class of equations, including the Schrodinger equation from quantum mechanics and the wave equation from classical physics.
To foster greater interaction between partial differential equations research with harmonic analysis and geometric analysis, an international conference was organised at Saitama University. The conference was a great success, and was the catalyst for new developments in several important research topics.
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Report
(3 results)
Research Products
(14 results)
