A minisemester on evolution of interfaces,

Sapporo July 12- August 13, 2010

- INDEX
- Viscosity methods and nonlinear PDE (July 21 - 23)

# Purpose

# Program - Mathematical Aspects of Crystal Growth (July 26 - 30)

# Purpose

# Program - Singular Diffusion and Evolving Interfaces (August 2 - 6)

# Purpose

# Program - Ptotos
- Abstract list
- Technical Report
- Registration and hotel
- Guide Map
- Pre Arrival Information
- From Chitose Airport To Sapporo City
- From JR Sapporo Sta. To Hokkaido University
- Hotel Info
- Visitor Info

- July 21 (Wednesday)
- 09:30-10:30 Panagiotis E. Souganidis (Univ. of Chicago)
- (Lecture I) An introduction to the theory of homogenization for first and second order elliptic pde in random environments
- 11:00-12:00 Shigeaki Koike (Saitama Univ.)
- On the weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients
**»**PDF file - 12:05-13:05 Ki-Ahm Lee (Seoul National Univ.)
- Homogenizations of partial differential equations with oscillating boudary data
- 14:30-15:30 Claude L. Bris (Ecole Nationale des Ponts et Chaussees)
- (Lecture I) Stochastic Homogenization: An introduction to some recent variants and to numerical approaches
- 16:00-17:00 Andrzej Swiech (Georgia Institute of Technology)
- A Hamilton-Jacobi-Bellman equation in the space of probability measures
**»**PDF file - 17:05-18:05 Toshio Mikami (Hiroshima Univ.)
- The Knothe-Rosenblatt processes by the zero-noise limit of a class of stochastic controls

- July 22 (Thursday)
- 09:30-10:30 Panagiotis E. Souganidis (Univ. of Chicago)
- (Lecture II) An introduction to the theory of homogenization for first and second order elliptic pde in random environments
- 11:00-12:00 Inwon C. Kim (UCLA)
- Degenerate diffusion equation with a drift potential
- 12:05-13:05 Piotr Rybka (Warsaw Univ.)
- A Hamilton-Jacobi with discontinuous Hamiltonian arising from weighted mean curvature flow
**»**PDF file - 14:30-15:30 Claude L. Bris (Ecole Nationale des Ponts et Chaussees)
- (Lecture II) Stochastic Homogenization: An introduction to some recent variants and to numerical approaches
- 16:00-17:00 Qing Liu (Univ. of Tokyo)
- A game-theoretic proof for fattening of motion by curvature and applications
- 17:05-18:05 Jean-M. Roquejoffre (Univ. Paul Sabatier)
- Travelling waves for the 3D forced mean curvature motion
- 18:30-00:00Party

- July 23 (Friday)
- 09:30-10:30 Panagiotis E. Souganidis (Univ. of Chicago)
- (Lecture III) An introduction to the theory of homogenization for first and second order elliptic pde in random environments
- 11:00-12:00 Naoyuki Ichihara (Hiroshima Univ.)
- Large time behavior of solutions of Hamilton-Jacobi-Bellman equations with quadratic nonlinearity in gradients
**»**PDF file - 12:05-13:05 Scott N. Armstrong (Univ. of Chicago)
- Liouville theorems for supersolutions of elliptic equations in unbounded domains
- 14:30-15:30 Claude L. Bris (Ecole Nationale des Ponts et Chaussees)
- (Lecture III) Stochastic Homogenization: An introduction to some recent variants and to numerical approaches
- 16:00-17:00 Olivier Ley (IRMAR, INSA de Rennes)
- Existence of viscosity solutions for a nonlocal equation modelling polymer crystal growth
**»**PDF file - 17:05-18:05 Yoshikazu Giga (Univ. of Tokyo)
- A few problems for Hamilton-Jacobi equations arising from step motions of crystal growth