Research

Research Interest:

Geometric Analysis

Partial Differential Equations

Preprints:

Eiji Onodera, Haruka Yamasaki
A fifthorder dispersive partial differential equation for open curve flow on the sphere
preprint

Eiji Onodera,
Local existence of a fourth order dispersive curve flow on locally Hermitian symmetric spaces and the application
submitted for publication.
arXiv:1606.04664

Refereed Papers:

Masayuki Matsuoka, Eiji Onodera, Toshitsugu Kawakami, Kazutaka Takano, Yuzuru Kimura,
Approximate standard deviation for estimating the accuracy of the GNSSderived plot area. (in Japanese)
Journal of the Japanese Forest Society
100(2018),
pp.193200

Eiji Onodera,
The initial value problem for a fourthorder
dispersive closed curve flow on the 2sphere,
Proc. Roy. Soc. Edinburgh Sect. A.
147(2017),
pp.12431277

Eiji Onodera,
A fourthorder dispersive flow equation for closed curves on compact Riemann surfaces,
J. Geom. Anal.
27 (2017),
pp.33393403.

Hiroyuki Chihara and Eiji Onodera,
A fourthorder dispersive flow into Kähler manifolds,
Z. Anal. Anwend.
34 (2015),
pp.221249.

Eiji Onodera,
A curve flow on an almost Hermitian manifold evolved by a third order dispersive equation,
Funkcial. Ekvac.
55 (2012),
pp.137156.

Eiji Onodera,
A remark on the global existence of a third order dispersive flow into
locally Hermitian symmetric spaces,
Comm. Partial Differential Equations
35 (2010),
pp.11301144.

Hiroyuki Chihara and Eiji Onodera,
A third order dispersive flow for closed curves into almost
Hermitian manifolds,
J. Funct. Anal.
257 (2009),
pp.388404.

Eiji Onodera,
Generalized Hasimoto transform of onedimensional dispersive flows into compact Riemann surfaces,
SIGMA Symmetry Integrability Geom. Methods Appl.
4 (2008),
article No. 044, 10 pages.

Eiji Onodera,
A thirdorder dispersive flow for closed curves into Kähler manifolds,
J. Geom. Anal.
18 (2008),
pp.889918.

Eiji Onodera,
Bilinear estimates associated to the Schrödinger equation
with a nonelliptic principal part,
Z. Anal. Anwend.
27 (2008),
pp.110.

Talks:

JSPS Grant:

GrantinAid for JSPS Fellows 20072008 (Research Project Number: 07J03304)

Grantinaid for young scientist (B) 20092011 (Researcher Number : 70532357,
Research Project Number: 21740101)

Grantinaid for young scientist (B) 20122015 (Researcher Number : 70532357,
Research Project Number: 24740090)

GrantinAid for Scientific Research (C) 20162019 (Researcher Number : 70532357,
Research Project Number: 16K05235)