2023 OIST Conference

Geometric PDEs and Applications　

January 16 - 18, 2023

The past years have witnessed cutting-edge applications of geometry-related partial differential equations in material sciences, image processing, control theory, optimal transport and many other fields. Motivated by these new challenges, novel techniques have been developed for solving various nonlinear PDEs and understanding their analytic and geometric properties. 

This conference aims to bring together top mathematicians who actively contribute to research on related topics including fully nonlinear equations, calculus of variations, convex analysis, shape analysis, asymptotic behavior, geometric functional inequalities and so on. It will provide an opportunity to broaden our knowledge on a large variety of subjects in analysis and geometry as well as many new applications.

 

 

Venue: C209 (Center Building) or Zoom

Zoom Registration: Click here to get a Zoom link.

 

Monday, Jan. 16

10:00-11:00 Hung Tran (University of Wisconsin, Madison)

Periodic homogenization of Hamilton-Jacobi equations: some recent progress

 

11:30-12:30 Yifeng Yu (University of California, Irvine)

Existence of effective burning velocity in cellular flow for curvature G-equation

 

14:00-15:00 Goro Akagi (Tohoku University)

Rate of convergence to asymptotic profiles for fast diffusion on domains via energy methods

 

15:10-16:10 Tianling Jin (Hong Kong University of Science and Technology)

Optimal regularity and fine asymptotics for the porous medium equation in bounded domains

 

16:30-17:30 Shuntaro Tsubouchi (University of Tokyo)

Continuous differentiability across a facet; gradient regularity results for very singular elliptic problems

 

Tuesday, Jan. 17

10:00-11:00 Inwon Kim (University of California, Los Angeles)

Tumor growth with nutrients: regularity of interface

 

11:30-12:30 Adam Oberman (McGill University)

Mathematcial aspects of deep learning

 

14:00-15:00 Olivier Ley (IRMAR, INSA Rennes)

Some uniqueness results for the motion by mean curvature of entire graphs

 

15:10-16:10 Norbert Pozar (Kanazawa University)

Continuum limit of dislocations with annihilation in one dimension

 

16:30-17:30 Shuhei Kitano (Waseda University)

\(W^{\sigma,p}\) estimates for fully nonlinear integral equations

 

Wednesday, Jan. 18

9:00-10:00 Julio Rossi (University of Buenos Aires)

Asymptotic mean value properties for nonlinear partial differential equations

 

10:10-11:10 Jiwoong Jang (University of Wisconsin, Madison)

Level-set forced mean curvature flow with the Neumann boundary condition

 

11:30-12:30 Erbol Zhanpeisov (Okinawa Institute of Science and Technology)

Existence of solutions for fractional semilinear parabolic equations in Besov-Morrey spaces

 

Talk Abstracts: A program booklet including the abstracts of all talks is available here.

 

Organizers: Qing Liu (OIST), Hiroyoshi Mitake (University of Tokyo), Xiaodan Zhou (OIST)