(1) 双曲型方程式系に対する初期値問題と解の特異性の伝播、
(2) 解析関数の空間と無限回微分可能な関数の空間の間に位置する Gevrey 空間における擬微分作用素論とフーリエ積分作用素論、
(3) 退化する楕円型作用素の正値性と解の正則性（regularity)、
(4) 主要型擬微分作用素の局所可解性と準楕円性、
(5) Schro"dinger 型作用素の初期値問題の解の解析的平滑化効果、
(6) 無限次退化半線型楕円型方程式の解の正則性、
(7) Wick calculus による擬微分作用素の正値性、
(8) Boltzmann 方程式に対する超局所解析、
についてである。
Seminaire hebdomadaire 2006-2007 , University of Rouen, France, March29,2007,
"The uncertainty principle of Fefferman-Phong for fractional or logarithmic order"
Clay Mathematics Institute Workshop: Solvability and Spectral Instability,
U.S.A., September 18-21,2007, "The uncertainty principle of Fefferman-Phong for fractional and logarithmic order"
Fourth Pacific Rim Conference on Mathematics, City University of Hong Kong, December 7-11, 2007, "The collision kernel for Debye-Yukawa potential and the regularity of solutions to the spatially Homogeneous Boltzmann equation"
The 3th International Conference on
The Boltzmann equation and related topics, Central China Normal University, Wuhan, China, October 11, 2008,
"Estimates for non-cutoff Boltzmann collision term and its application"
International Conference on Conservation
laws and kinetic equations,(CLKE2008), Shanghai Jiao Tong University, Shanghai, China, December 15, 2008.
"Ultra-analytic smoothing effect for a class of kinetic equations"
International Conference on kinetic and related models.. Wuhan University, Wuhan China, April 4, 2009,
" Some remarks on Ukai local solutions in Gevrey classes to the nonlinear Boltzmann equation without cutoff "
11eme Rencontres Mathematiques de Rouen, Rouen University, Rouen, France, June 23, 2009,
" Gevrey smoothing effect for spatially homogeneous nonlinear Boltzmann equation without cutoff"
The 7th East Asia Conference on PDEs, The Chinese University of Hong Kong, Hong Kong, December 14, 2009,
"The global well-posed theory on the non-cutoff Boltzmann equation in the whole space, I. Uniqueness
and non-negativity "
Seminaire 2009-2010, Equations aux Derivees Partielles et Physique Mathematique - C.N.R.S., Universite de
Reims, France, March 10, 2010,
"Existence, regularity and uniqueness of solutions for non-cutoff Boltzmann
equation"
Colloquium, Laboratoire de Mathematiques Raphael Salem, Universite de Rouen, France, March 18, 2010,
"The global solution for the non-cutoff Boltzmann equation in the whole space"
Work Shop on Kinetic and Related Models, North West University, X'ian, China, October 16, 2010
"Uniqueness of the solution for non-cutoff Boltzmann equation in the whole space"
Mini-Symposium, Kinetic and hyperbolic equations, Shanghai Jiao Tong University, Shanghai, China, November 25, 2010,
"Uniqueness Theorems for solutions of Boltzmann equation without angular cutoff"
International conference on nonlinear evolutionary partial differential equations -theories and applications, Shanghai
Jiao Tong University, Shanghai, China, January13, 2011,
"Smoothing effect of weak solutions for spatially homogeneous Boltzmann equation"
Analyse Numerique et Equations aux Derivees Partielles, Le seminaire a
Orsay, Universite de Paris-Sud, France, March 17, 2011,
"Recent topics on the non-cutoff Boltzmann equation -Smoothing effect of weak solutions in spatially homogeneous case"
International Symposium"Function Spaces and Partial Differential Equations" Osaka University, Japan, February 18, 2008,
"Uncertainty principle and regularity of solutions for Boltzmann type equations"
The 9th Northeastern Symposium on Mathematical Analysis, Hokkaido University, Japan, February 22, 2008,
"Microlocal analysis on the regularity of solutions for Boltzmann type equations"
10th RIMS Workshop on Math. Anal. in Fluid and Gas Dynamics，Kyoto University, July 11,2008,
"Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff (non Maxwellian
molecule type)"
「偏微分方程式姫路研究集会」, イーグレ姫路, February 20, 2009， "Microlocal analysis on non-cutoff Boltzmann equation"
Linear and Nonlinear Waves, No. 7, Piazza Omi, Otsu City, November 6, 2009, " Existence and smoothing effect of solutions for non-cutoff Boltzmann equation"
研究集会「微分方程式の総合的研究」サーベイレクチュア, 東京大学数理科学研究科, December 18-19,2009, "Regularity and existence of solutions for non-cutoff Boltzmann equation"
International Conference the 27th Matsuyama Camp, Recent Development
on Partial Differential Equations, ともいき荘，龍谷大学，京都，January 7, 2011,
" Uniqueness of solutions for non-cutoff Boltzmann equation and singular change of variables in pres-post collisional velocity"
12年微分積分学A（前期）
2012年微分積分学A-part1,
2012年微分積分学A-part2,
2012年微分積分学A-part3,
11年微分積分学続論A（前期）
2011年微分積分学続論A,
2011年微分積分学続論A-part2,
2011年微分積分学続論A-part3,
2011年微分積分学続論A-part4,
2011年微分積分学続論A-part5,
2011年微分積分学続論A-part6,
2011年微分積分学続論A-part7,
2011年微分積分学続論A-part8,
09年微分積分学続論B（後期）
09bizoku-b1.pdf,
09bizoku-b2.pdf,
09bizoku-b3.pdf,
09bizoku-b4.pdf,
09bizoku-存在定理(full version).pdf,
09bizoku-初期値とパラメータに関する解の連続性と微分可能性.pdf,
09bizoku-コーシー・コワレスカヤの定理.pdf,
07年実解析 A（前期）
07real-1.pdf,
07real-2.pdf,
例題の解答.pdf,
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07real-3.pdf,