Special Project
A minisemester on evolution of interfaces,
Sapporo July 12- August 13, 2010

Contents

Program : Symposium “Viscosity methods and nonlinear PDE”

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