K. Kataoka's Laboratory of
MICROLOCAL ANALYSIS
(Updated May 22, 2013)
共立叢書「超函数・FBI変換・無限階擬微分作用素」(青木貴史-片岡清臣-山崎晋著)の訂正項目PDF(2013. 5.22; (9))
2013年度講義資料：数学IA PDF(2013.
4.10), Algebraic analysis (2013.5.15)
Kiyoomi KATAOKA (清臣, 片岡)
Professor of Graduate School of Mathematical Sciences
The University of Tokyo
Members of My Laboratory
- Doctor Course Students
None
- Master Course Students
Yuichi IKE(祐一, 池), Kaito YAMAZAKI(海斗, 山崎)
- Graduates in academic positions
Hideshi YAMANE (英司, 山根)
: Professor at Kwansei
Gakuin University. Microlocal
analysis, differential equations in complex domains. PhD
in 1995 title: Branching of singularities for some second or
third order microhyperbolic operators multiply characteristic
at $x_1=0$.
Naoto KUMANO-GO
(直人, 熊ノ郷) : Professor at Kougakuin
University. Multiple-products
of pseudodifferential operators, path-integrals. PhD in 1997
title: On multi-products of Fourier Integral Operators.
Susumu YAMAZAKI (晋, 山崎)
: Associate Professor at Nihon University. Microlocal
analysis, Goursat Problems for Fuchsian operators. PhD in
1996, title: Goursat Problem for microdifferential operator of
Fuchsian type in several variables and its application.
Xiao-Fang ZHOU
(小方, 周) : PD and Associate Professor at Wuhan University,
China. Paradifferential operators, Semilinear heat equations,
Navier-Stokes equations. PhD in 1999 title: Morrey
空間における半線形熱方程式の定常解の安定性について. his
home page here.
Yasuo CHIBA (康生, 千葉): Lecturer
at Tokyo University of Technology . Microlocal analysis and asymptotic
analysis. PhD in 2004 title: WKB
solutions for microdifferential equations with fractional power
singularities.
Yutaka MATSUI (優，松井):
Lecturer at Kinki university. Microlocal analysis. Radon transformations.
(15MB quicktime movie).
PhD in 2007 title: Radon transforms of constructible functions
and their applications.
- Previous students in our laboratory
Fumitsuna MARUYAMA (文綱, 丸山): Determinant-theory
of diffenrential operators, asymptotic analysis.
Hiroshi KOSHIMIZU (寛, 小清水)：Second microlocal analysis. PhD in
1999 title: 偏微分方程式の可解性と解の延長に対する超局所的研究.
Masashi KOBAYASHI (正史, 小林) : Several complex
variables, Kobayashi metric. (PhD in another laboratory).
Ryuta IMAI (隆太, 今井) : Several
complex variables, Hardy spaces. (PhD in another laboratory).
Shota FUNAKOSHI
(正太, 船越) : Microlocal analysis, second microlocal analysis.
PhD in 2000 title: Solvability of a class of differential equations
in the sheaf of microfunctions with holomorphic parameters (here is an
explanation of Funakoshi's results by K. Kataoka).
Yuichi SUGIKI (雄一, 杉木): Microlocal analysis. PhD in 2002 title:
余層を使った積分変換理論と
$\mathcal E$-加群上のコーシー問題.
Chang Hoon LEE (昌勳, 李): Microlocal
analysis. PhD in 2003 title: Exponential
Calculus of Pseudodifferential Operators of Minimum Type.
See 1.5MB MPEG movie.
Yoshiyasu YASUTOMI
(義泰, 安富): PHD of COE program of Graduate School of Math. Sci.
the Univ. Tokyo. PhD in 2003 title: Theory
of Generalized Elastic Wave Equations. See 1.5MB
MPEG movie.
Takamitsu TOMIKAWA (尚充, 富川) : Nonlinear
generalized functions of Colombeau's type. PhD in 2005 title:
Solvability
and unsolvability of nonlinear differential equations in a space
of generalized functions of Colombeau's type
Shingo KAMIMOTO (晋吾, 神本):
PhD in 2012 title: On the exact WKB analysis of Schr\"odinger
equations.
At a yakiniku restaurent in Shibuya, 18 Dec. 2001.
Links to Other Sites
