No.1481
微分方程式の粘性解理論とその発展
Viscosity Solution Theory of Differential Equations and its Developments
RIMS 研究集会報告集
 
2005/06/29〜2005/07/01
小池 茂昭
Shigeaki Koike
 
目 次
 
1. THE NEUMANN PROBLEM FOR THE $\infty$- LAPLACIAN(Viscosity Solution Theory of Differential Equations and its Developments)---------1
    DEPARTMENT OF MATHEMATICS, UNIVERSITY OF PITTSBURGH   MANFREDI, JUAN J.
 
2. Rate of convergence of the Bence-Merriman-Osher algorithm for motion by mean curvature(Viscosity Solution Theory of Differential Equations and its Developments)---11
    神戸大学海事科学部   石井 克幸 (Ishii, Katsuyuki)
 
3. Homogenization of fully nonlinear PDEs and backward SDEs(Viscosity Solution Theory of Differential Equations and its Developments)---20
    大阪大学大学院基礎工学研究科   市原 直幸 (Ichihara, Naoyuki)
 
4. A representation formula for solutions of Hamilton-Jacobi equations(Viscosity Solution Theory of Differential Equations and its Developments)---32
    早稲田大学大学院理工学研究科   三竹 大寿 (Mitake, Hiroyoshi)
 
5. HJB equations in Hilbert spaces related to optimal control of stochastic Navier-Stokes equations(Viscosity Solution Theory of Differential Equations and its Developments)---43
    Schoool of Mathematics, Georgia Institute of Technology   Swiech, Andrzej
 
6. STRONG COMPARISON PRINCIPLE OF SEMICONTINUOUS VISCOSITY SOLUTIONS TO SOME NONLINEAR ELLIPTIC EQUATIONS(Viscosity Solution Theory of Differential Equations and its Developments)---56
    徳島大学総合科学部   大沼 正樹 (Ohnuma, Masaki)
 
7. On the convergence of a three-dimensional crystalline motion to Gauss curvature flow(Viscosity Solution Theory of Differential Equations and its Developments)---69
    Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science / Graduate School of Mathematical Sciences, The University of Tokyo   Ushijima, Takeo K. / Yagisita, Hiroki
 
8. Interior $C^{2, \alpha}$ regularity for fully nonlinear elliptic equations(Viscosity Solution Theory of Differential Equations and its Developments)---79
    ICREA AND UNIVERSITAT POLITECNICA DE CATALUNYA, DEPARTAMENT DE MATEMATICA   CABRE, XAVIER
 
9. A note on asymptotic solutions of Hamilton-Jacobi equations(Viscosity Solution Theory of Differential Equations and its Developments)---88
    富山大学理学部   藤田 安啓 (FUJITA, Yasuhiro)
 
10. A generalization of a curvature flow of graphs on R(Viscosity Solution Theory of Differential Equations and its Developments)---93
    北海道大学理学研究科   三上 敏夫 (Mikami, Toshio)
 
11. A note on demi-eigenvalues for uniformly elliptic Isaacs operators(Viscosity Solution Theory of Differential Equations and its Developments)---106
    早稲田大学大学院理工学研究科   吉村 康宏 (Yoshimura, Yasuhiro)
 
12. Some results on Hessian measures for non-commuting vector fields(Viscosity Solution Theory of Differential Equations and its Developments)---115
    Centre for Mathematics and its Applications, Australian National University   Trudinger, Neil S
 
13. NOTE ON THE MODICA-MORTOLA FUNCTIONAL(Viscosity Solution Theory of Differential Equations and its Developments)----------------119
    Department of Mathematics, Hokkaido University   TONEGAWA, YOSHIHIRO
 
14. THE MAXIMUM PRINCIPLE FOR VECTOR FIELDS(Viscosity Solution Theory of Differential Equations and its Developments)--------------125
    DEPARTMENT OF MATHEMATICS, UNIVERSITY OF PITTSBURGH   MANFREDI, JUAN J.
 
15. ASYMPTOTIC SOLUTIONS OF HAMILTON-JACOBI EQUATIONS IN THE WHOLE EUCLIDEAN SPACE(Viscosity Solution Theory of Differential Equations and its Developments)---134
    早稲田大学教育総合科学学術院   石井 仁司 (Ishii, Hitoshi)