Research

• Research Interest:
  1. Geometric Analysis
  2. Partial Differential Equations
  
  
• プレプリント:
  1. Eiji Onodera,
     Local well-posedness for a fourth-order nonlinear dispersive system on the 1D torus.
     math.AP/2411.00452
  2. Eiji Onodera,
     Local well-posedness of the initial value problem for a fourth-order nonlinear dispersive system on the real line.
     math.AP/2407.18605
  
  
• 査読付学術論文:
  1. Eiji Onodera,
     Structure of a Fourth-Order Dispersive Flow Equation Through the Generalized Hasimoto Transformation,
     The Journal of Geometric Analysis 34 (2024), Article number: 347, 55pp.
  2. Eiji Onodera,
     Uniqueness of 1D Generalized Bi-Schrödinger Flow,
     The Journal of Geometric Analysis 32 (2022), Article number: 47, 41pp.
  3. Eiji Onodera and Haruka Yamasaki,
     A fifth-order dispersive partial differential equation for curve flow on the sphere,
     Journal of Mathematical Analysis and Applications 503(2021), Paper No. 125297, 33pp.
  4. Eiji Onodera,
     Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application,
     Differential Geometry and its Applications 67(2019) 101560, 26 pp.
  5. Masayuki Matsuoka, Eiji Onodera, Toshitsugu Kawakami, Kazutaka Takano, Yuzuru Kimura,
     Approximate standard deviation for estimating the accuracy of the GNSS-derived plot area. (in Japanese)
     Journal of the Japanese Forest Society 100(2018), pp.193-200
  6. Eiji Onodera,
     The initial value problem for a fourth-order dispersive closed curve flow on the 2-sphere,
     Proceedings of the Royal Society of Edinburgh Section A: Mathematics 147(2017), pp.1243-1277
  7. Eiji Onodera,
     A fourth-order dispersive flow equation for closed curves on compact Riemann surfaces,
     The Journal of Geometric Analysis 27 (2017), pp.3339-3403.
  8. Hiroyuki Chihara and Eiji Onodera,
     A fourth-order dispersive flow into Kähler manifolds,
     Zeitschrift fur Analysis und ihre Anwendungen 34 (2015), pp.221-249.
  9. Eiji Onodera,
     A curve flow on an almost Hermitian manifold evolved by a third order dispersive equation,
     Funkcialaj Ekvacioj 55 (2012), pp.137-156.
  10. Eiji Onodera,
      A remark on the global existence of a third order dispersive flow into locally Hermitian symmetric spaces,
      Communications in Partial Differential Equations 35 (2010), pp.1130-1144.
  11. Hiroyuki Chihara and Eiji Onodera,
      A third order dispersive flow for closed curves into almost Hermitian manifolds,
      Journal of Functional Analysis 257 (2009), pp.388-404.
  12. Eiji Onodera,
      Generalized Hasimoto transform of one-dimensional dispersive flows into compact Riemann surfaces,
      Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 4 (2008), article No. 044, 10 pages.
  13. Eiji Onodera,
      A third-order dispersive flow for closed curves into Kähler manifolds,
      The Journal of Geometric Analysis 18 (2008), pp.889-918.
  14. Eiji Onodera,
      Bilinear estimates associated to the Schrödinger equation with a nonelliptic principal part,
      Zeitschrift fur Analysis und ihre Anwendungen 27 (2008), pp.1-10.
  
  
  
• 講演:
  
  
• 科研費(研究代表者分):
  1. 2024-2027年度, 科学研究費補助金（基盤研究(C)） (研究者番号： 70532357, 研究課題番号： 24K06813)
  2. 2020-2023年度, 科学研究費補助金（基盤研究(C)） (研究者番号： 70532357, 研究課題番号： 20K03703)
  3. 2016-2019年度, 科学研究費補助金（基盤研究(C)） (研究者番号： 70532357, 研究課題番号： 16K05235)
  4. 2012-2015年度, 科学研究費補助金（若手研究(B)） (研究者番号： 70532357, 研究課題番号： 24740090)
  5. 2009-2011年度, 科学研究費補助金（若手研究(B)） (研究者番号： 70532357, 研究課題番号： 21740101)
  6. 2007-2008年度, 科学研究費補助金（特別研究員奨励費） (研究課題番号： 07J03304)