Variational Problems in Riemannian Geometry

Bubbles, Scans and Geometric Flows

AvPaul Baird,Ahmad El Soufi

Inbunden, Engelska, 2004

Del 59 i serien Progress in Nonlinear Differential Equations and Their Applications

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2004-03-26
Mått:155 x 235 x 16 mm
Vikt:430 g
Format:Inbunden
Språk:Engelska
Serie:Progress in Nonlinear Differential Equations and Their Applications
Antal sidor:150
Upplaga:2004
Förlag:Birkhauser Verlag AG
ISBN:9783764324322

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Innehållsförteckning

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.