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Notes on the Infinity Laplace Equation

  • Peter Lindqvist

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Peter Lindqvist
    Pages 1-6
  3. Peter Lindqvist
    Pages 7-14
  4. Peter Lindqvist
    Pages 15-22
  5. Peter Lindqvist
    Pages 23-31
  6. Peter Lindqvist
    Pages 33-37
  7. Peter Lindqvist
    Pages 39-44
  8. Peter Lindqvist
    Pages 45-47
  9. Peter Lindqvist
    Pages 49-54
  10. Peter Lindqvist
    Pages 55-56
  11. Peter Lindqvist
    Pages 57-66
  12. Back Matter
    Pages 67-68

About this book

Introduction

This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which  has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author.  The Infinity.Laplace Equation has delightful counterparts to the Dirichlet integral, the mean value property, the Brownian motion, Harnack's inequality, and so on. This "fully non-linear" equation has applications to image processing and to mass transfer problems, and it provides optimal Lipschitz extensions of boundary values.

Keywords

PDE The infinity laplace operator Viscosity solutions Lipschitz extensions Degenerate elliptic equations Fully non-linear equations

Authors and affiliations

  • Peter Lindqvist
    • 1
  1. 1.Norwegian University of Science and TechDepartment of Mathematical SciencesTrondheimNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-31532-4
  • Copyright Information The Author(s) 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-31531-7
  • Online ISBN 978-3-319-31532-4
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site
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