Dept. Math, Hokkaido Univ. EPrints Server

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Evans, Jim Atomistic and coarse-grained modeling of epitaxial thin film growth. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Ishiwata , Tetsuya Behavior of solutions to an area-preserving crystalline motion. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Kim, Inwon C. Degenerate diffusion equation with a drift potential. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Feng, James J. Diffuse-interface simulations of interfacial dynamics in complex fluids. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Sazaki , Gen Direct observation of elementary growth processes of ice crystals by advanced optical microscopy. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Mazon, Jose M. The Dirichlet problem for a singular elliptic equation arising in the level set formulation of the inverse mean curvature flow. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Garcke, Harald Efficient computation of crystal growth using sharp interface models. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Sudoh, Koichi Evolution of microsctructures on silicon substrates by surface diffusion. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Ley, Olivier Existence of viscosity solutions for a nonlocal equation modelling polymer crystal growth. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Giga, Yoshikazu A few problems for Hamilton-Jacobi equations arising from step motions of crystal growth. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Liu, Qing A game-theoretic proof for fattening of motion by curvature and applications. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Caflisch, Russel E. Growth, Structure and Pattern Formation for Thin Films. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Rybka, Piotr A Hamilton-Jacobi with discontinuous Hamiltonian arising from weighted mean curvature flow. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Swiech, Andrzej A Hamilton-Jacobi-Bellman equation in the space of probability measures. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Lee , Ki-Ahm Homogenizations of partial differential equations with oscillating boudary data. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Souganidis , Panagiotis E. An introduction to the theory of homogenization for first and second order elliptic pde in random environments. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Vekilov, Peter G. Kink generation by the association of 2D clusters. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Mikami, Toshio The Knothe-Rosenblatt processes by the zero-noise limit of a class of stochastic controls. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Moll, Jose S. Large solutions for some parabolic equations without absorption. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Ichihara , Naoyuki Large time behavior of solutions of Hamilton-Jacobi-Bellman equations with quadratic nonlinearity in gradients. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Margetis, Dionisios Lecture 1: A tale of two scales: Fundamentals of crystal surface morphological evolution Lecture 2: From discrete schemes to macroscopic evolution laws: I. Coarse graining and homogenization in epitaxial relaxation Lecture 3: From discrete schemes to macroscopic evolution laws: II. Crystal facets and boundary conditions. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Monneau, Regis Lecture 1: Introduction to dislocation dynamics Lecture 2: Mean curvature motion (MCM) as a singular limit of dislocation dynamics Lecture 3: Homogenization of dislocation dynamics and of particle systems. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Manfredi , Juan J. Lecture I A survey of p-harmonious functions in trees and in Euclidean space Lecture II Random Tug-of-War games for the parabolic p-Laplacian. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Bellettini, Giovanni (Lecture I) Anisotropic perimeters: variational properties (Lecture II) Anisotropic and crystalline mean curvature flow. Reaction-diffusion approximation. (Lecture III) Examples of facet-breakings in crystalline mean curvature flow (Lecture IV) Crystalline curvature flow of networks. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Ohtsuka, Takeshi A level set method for spiral crystal growth and growth rate of crystal surface. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Armstrong , Scott N. Liouville theorems for supersolutions of elliptic equations in unbounded domains. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Yamazaki , Noriaki Mathematical analysis of grain boundary motion models of Kobayashi-Warren-Carter type. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Guo, Jong-Shenq Motion by curvature of planar curves with two free end points. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Mucha, Piotr The notion of an almost classical solutions to the total variation flow and its usefulness. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Tsai, Yen-Hsi R. Numerical methods for smooth and crystalline curvature flow. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Yagi , Atsushi On the longtime behavior of solutions to a model for epitaxial growth. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Koike, Shigeaki On the weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Shirakawa, Ken Phase transition models based on linear-growth interfacial energies. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Nishikawa, Takao Probabilistic models of interfaces and their scaling limit. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Giga , Yoshikazu Scale-invariant extinction time estimates for some singular diffusion equations. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Mitake , Hiroyoshi Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Kohsaka, Yoshihito Stability analysis of steady states for surface diffusion equation in a bounded domain. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Garcke, Harald The Stefan problem with anisotropic Gibbs-Thomson law. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Bris, Claude L. Stochastic Homogenization: An introduction to some recent variants and to numerical approaches. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Mazon, Jose M. The total variation flow. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.

Allard, William Variational problems using total variation defined by noneuclidean norms. In: A minisemester on evolution of interfaces, Sapporo 2010, July 12 - August 13, 2010, Hokkaido University.