This volume consists of eight original survey papers written by invited lecturers in connection with a conference "Variational Methods for Evolving Objects" held at Hokkaido University, Sapporo, Japan, July 30 – August 3, 2012. The topics of papers vary widely from problems in image processing to dynamics of topological defects, and all involve some nonlinear phenomena of current major research interests. These papers are carefully prepared so that they serve as a good starting point of investigation for graduate students and new comers to the field and are strongly recommended.
Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
Contents:
- Sobolev Spaces in Metric Measure Spaces: Reflexivity and Lower Semicontinuity of Slope (L Ambrosio, M Colombo & S di Marino)
- Optimal Transportation of Particles, Fluids and Currents (Y Brenier)
- Existence and Uniqueness for Planar Anisotropic and Crystalline Curvature Flow (A Chambolle & M Novaga)
- A Variational Problem Involving a Polyconvex Integrand (W Gangbo)
- Anisotropic Diffusions of Image Processing from Perona–Malik on (P Guidotti)
- Dynamics of Topological Defects in Nonlinear Field Theories (R L Jerrard)
- Models of a Sudden Directional Diffusion (P Bogusław Mucha & P Rybka)
- An Introduction to BV Functions in Wiener Spaces (M Miranda, M Novaga & D Pallara)
Readership: Graduate students and researchers interested in calculus of variations, geometric analysis and evolution problems.
