Advertisement

© 2018

Geometry of PDEs and Related Problems

Cetraro, Italy 2017

  • Chiara Bianchini
  • Antoine Henrot
  • Rolando Magnanini
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 2220)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2220)

Table of contents

About this book

Introduction

The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references.

Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held in Cetraro (Cosenza, Italy) in the week of June 19–23, 2017, the volume presents a friendly introduction to a broad spectrum of up-to-date and hot topics in the study of PDEs, describing the state-of-the-art in the subject. It also gives further details on the main ideas of the proofs, their technical difficulties, and their possible extension to other contexts. Aiming to be a primary source for researchers in the field, the book will attract potential readers from several areas of mathematics.

Keywords

Functional Inequalities Geometric Properties of Solutions Overdetermined Problems Partial Differential Equations Shape Optimization

Authors and affiliations

  1. 1.Departament de MatemàtiquesICREA and Universitat Politècnica de CatalunyaBarcelonaSpain
  2. 2.Institut Elie Cartan – Faculté des Sciences et TechnologiesUniversité de LorraineVandoeuvre-les-NancyFrance
  3. 3.Consejo Superior de Investigaciones CientíficasInstituto de Ciencias MatemáticasMadridSpain
  4. 4.Institute for Analysis, Department of MathematicsKarlsruhe Institute of TechnologyKarlsruheGermany
  5. 5.Department of MathematicsThe Royal Institute of TechnologyStockholmSweden

Editors and affiliations

  • Chiara Bianchini
    • 1
  • Antoine Henrot
    • 2
  • Rolando Magnanini
    • 3
  1. 1.Dipt di Matematica e Informatica Ulisse DiniUniversità degli Studi di FirenzeFirenzeItaly
  2. 2.Institut Elie Cartan – Faculté des Sciences et TechnologiesUniversité de LorraineVandoeuvre-les-NancyFrance
  3. 3.Dipt di Matematica e Informatica Ulisse DiniUniversità degli Studi di FirenzeFirenzeItaly

Bibliographic information

Industry Sectors
Aerospace
Energy, Utilities & Environment
Finance, Business & Banking