Variational Problems in Riemannian Geometry: Bubbles, Scans and Geometric Flows (Progress in Nonlinear Differential Equations and Their Applications, 59)

ISBN 10: 3764324325 / ISBN 13: 9783764324322

Published by Birkhäuser, 2004

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Bibliographic Details

• Title: Variational Problems in Riemannian Geometry: Bubbles, Scans and Geometric Flows (Progress in Nonlinear Differential Equations and Their Applications, 59)
• Publisher: Birkhäuser
• Publication Date: 2004
• Language: English
• ISBN 10: 3764324325
• ISBN 13: 9783764324322
• Binding: Hardcover
• Condition: New

About this title

Synopsis

This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. The articles provide a balance between introductory surveys and the most recent research, with a unique perspective on singular phenomena. Notions such as scans and the study of the evolution by curvature of networks of curves are completely new and lead the reader to the frontiers of the domain.

The intended readership are postgraduate students and researchers in the fields of elliptic and parabolic partial differential equations that arise from variational problems, as well as researchers in related fields such as particle physics and optimization.

Synopsis

This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.