Variational Problems in Riemannian Geometry: Bubbles, Scans and Geometric Flows

by Paul Baird (Editor), Ahmad El Soufi (Editor), Ali Fardoun (Editor), Rachid Regbaoui (Editor)

Overview

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.

Product Details

ISBN-13:	9783034896405
Publisher:	Birkh�user Basel
Publication date:	11/01/2012
Series:	Progress in Nonlinear Differential Equations and Their Applications , #59
Edition description:	Softcover reprint of the original 1st ed. 2004
Pages:	150
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

I: Bubbling Phenomena.- Bubbles over Bubbles: A C,0-theory for the Blow-up of Second Order Elliptic Equations of Critical Sobolev Growth.- Applications of Scans and Fractional Power Integrands.- Bubbling of Almost-harmonic Maps between 2-spheres at Points of Zero Energy Density.- II: Evolution of Maps and Metrics.- Heat Flow into Spheres for a Class of Energies.- Singularity Models for the Ricci Flow: An Introductory Survey.- A Family of Expanding Ricci Solitons.- Evolution by Curvature of Networks of Curves in the Plane.- III: Harmonic Mappings in Special Geometries.- Harmonic Maps in Complex Finsler Geometry.- Regularity of Harmonic Maps from a Flat Complex.