The Role of Metrics in the Theory of Partial Differential Equations

This volume contains the proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) ``The Role of Metrics in the Theory of Partial Differential Equations'', held from July 2-13, 2018 at Hokkaido University, Sapporo, Japan. This volume consists of peer-reviewed articles written by speakers who actively lead the fields of partial differential equations, numerical analysis, harmonic analysis, and geometric analysis. Three survey articles provided by course lecturers show an interesting direction of analysis under various metrics. This volume is suitable for graduate students and young researchers. It is hoped that the book will motivate research in these fields from the viewpoint of metrics.