界面運動,力学系に現れる漸近問題への粘性解的手法とその周辺
Viscosity solution approach to asymptotic problems in front propagation, dynamical system and related topics
Venue: Room 420, RIMS, Kyoto University (Access Information)
Period: July 17 (Wed)--July 19 (Fri), 2019
July 17 (Wed)
13:00--13:50 Tianling Jin (香港科技大学/Hong Kong University of Science and Technology)
Asymptotic behavior for higher order conformally invariant equations with isolated singularities
14:00--14:50 小池茂昭/Shigeaki Koike (早稲田大学/Waseda University)
Obstacle problems for fully nonlinear elliptic PDEs
15:10--16:00 高棹圭介/Keisuke Takasao (京都大学/Kyoto University)
Phase field method for mean curvature flow with dynamic boundary condition
16:10--16:40 岡本潤/Jun Okamoto (東京大学/University of Tokyo)
Random discretization of O'Hara knot energy
July 18 (Thu)
10:00--10:50 Yifeng Yu (カリフォルニア大学アーバイン校/University of California, Irvine)
Optimal rate of convergence in periodic homogenization of Hamilton-Jacobi equations
11:00--11:50 石毛和弘/Kazuhiro Ishige (東京大学/University of Tokyo)
Large time behavior of ODE type solutions to a nonlinear parabolic system
13:30--14:20 Armin Schikorra (ピッツバーグ大学/University of Pittsburgh)
On a geometric obstacle-type problem
14:30--15:20 小野寺有紹/Michiaki Onodera (東京工業大学/Tokyo Institute of Technology)
Hyperbolic solutions to Bernoulli's free boundary problem
15:30--16:00 館山翔太/Shota Tateyama (早稲田大学/Waseda University)
The Phragmén-Lindelöf theorem for fully nonlinear parabolic equations with unbounded ingredients
16:10--16:40 寺井健悟/Kengo Terai (東京大学/University of Tokyo)
The vanishing discount problem for first order mean-field games
July 19 (Fri)
10:00--10:50 赤木剛朗/Goro Akagi (東北大学/Tohoku University)
Traveling wave dynamics for the Allen-Cahn equation with the positive-part function
11:00--11:50 張龍傑/Longjie Zhang (東京大学/University of Tokyo)
On the generalized Dirichlet problem for graph mean curvature flow with driving force
13:30--14:20 Lorenzo Cavallina (東北大学/Tohoku University)
On a variation of Serrin’s overdetermined problem in a two-phase setting: the geometry of non-trivial solutions
14:30--15:00 三栖邦康/Kuniyasu Misu (北海道大学/Hokkaido University)
Asymptotic shape of solutions to the mean curvature flow equation with a discontinuous source term
This workshop is partially supported by
▷ 京都大学数理解析研究所
▷ JSPS KAKENHI Grant-in-Aid for Scientic Research (C), No. 19K03580
「制御問題,力学系,界面運動に現れる漸近問題への粘性解的手法の研究」PI: Hiroyoshi Mitake
▷ JSPS KAKENHI Grant-in-Aid for Scientic Research (C), No. 19K03574
「粘性解理論に基づくサブリーマン多様体上の非線形偏微分方程式の研究」PI: Qing Liu