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Geometric Analysis: Partial Differential Equations and Surfaces
 
Edited by: Joaquín Pérez Universidad de Granada, Granada, Spain
José A. Gálvez Universidad de Granada, Granada, Spain
Geometric Analysis
eBook ISBN:  978-0-8218-8782-0
Product Code:  CONM/570.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Geometric Analysis
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Geometric Analysis: Partial Differential Equations and Surfaces
Edited by: Joaquín Pérez Universidad de Granada, Granada, Spain
José A. Gálvez Universidad de Granada, Granada, Spain
eBook ISBN:  978-0-8218-8782-0
Product Code:  CONM/570.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5702012; 185 pp
    MSC: Primary 53; Secondary 35; 49

    This volume contains research and expository articles from the courses and talks given at the RSME Lluis A. Santaló Summer School, “Geometric Analysis”, held June 28–July 2, 2010, in Granada, Spain.

    The goal of the Summer School was to present some of the many advances currently taking place in the interaction between partial differential equations and differential geometry, with special emphasis on the theory of minimal surfaces.

    This volume includes expository articles about the current state of specific problems involving curvature and partial differential equations, with interactions to neighboring fields such as probability. An introductory, mostly self-contained course on constant mean curvature surfaces in Lie groups equipped with a left invariant metric is provided.

    The volume will be of interest to researchers, post-docs, and advanced PhD students in the interface between partial differential equations and differential geometry.

    This book is published in cooperation with Real Sociedád Matematica Española.
    Readership

    Graduate students and research mathematicians interested in differential geometry and partial differential geometry.

  • Table of Contents
     
     
    • Articles
    • José A. Gálvez and Pablo Mira — Geometric PDEs in the presence of isolated singularities
    • William H. Meeks III and Joaquín Pérez — Constant mean curvature surfaces in metric Lie groups
    • Robert W. Neel — Stochastic methods for minimal surfaces
    • Frank Pacard — The role of minimal surfaces in the study of the Allen-Cahn equation
    • Giuseppe Tinaglia — On curvature estimates for constant mean curvature surfaces
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5702012; 185 pp
MSC: Primary 53; Secondary 35; 49

This volume contains research and expository articles from the courses and talks given at the RSME Lluis A. Santaló Summer School, “Geometric Analysis”, held June 28–July 2, 2010, in Granada, Spain.

The goal of the Summer School was to present some of the many advances currently taking place in the interaction between partial differential equations and differential geometry, with special emphasis on the theory of minimal surfaces.

This volume includes expository articles about the current state of specific problems involving curvature and partial differential equations, with interactions to neighboring fields such as probability. An introductory, mostly self-contained course on constant mean curvature surfaces in Lie groups equipped with a left invariant metric is provided.

The volume will be of interest to researchers, post-docs, and advanced PhD students in the interface between partial differential equations and differential geometry.

This book is published in cooperation with Real Sociedád Matematica Española.
Readership

Graduate students and research mathematicians interested in differential geometry and partial differential geometry.

  • Articles
  • José A. Gálvez and Pablo Mira — Geometric PDEs in the presence of isolated singularities
  • William H. Meeks III and Joaquín Pérez — Constant mean curvature surfaces in metric Lie groups
  • Robert W. Neel — Stochastic methods for minimal surfaces
  • Frank Pacard — The role of minimal surfaces in the study of the Allen-Cahn equation
  • Giuseppe Tinaglia — On curvature estimates for constant mean curvature surfaces
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.