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Regularity Estimates for Nonlinear Elliptic and Parabolic Problems

Cetraro, Italy 2009

Editors: Ugo Gianazza, John Lewis

  • John Lewis
  • Peter Lindqvist
  • Juan J. Manfredi
  • Sandro Salsa

Part of the Lecture Notes in Mathematics book series (LNM, volume 2045)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2045)

Table of contents

About this book

Introduction

The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions.
Because of all these recent results, it seemed high time to create an overview that would highlight emerging trends and issues in this fascinating research topic in a proper and effective way.
The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields.

Keywords

35J70, 35J75, 35J92, 35K65, 35K67, 35K86, 35K92, 49K20, 49N60 Boundary Harnack Inequalities Fractional Laplacian Obstacle Problem Random Tug-of-war Games Supersolutions to degenerate parabolic equatons

Authors and affiliations

  • John Lewis
    • 1
  • Peter Lindqvist
    • 2
  • Juan J. Manfredi
    • 3
  • Sandro Salsa
    • 4
  1. 1., Mathematics DepartmentUniversity of KentuckyLexingtonUSA
  2. 2.of Science and Technology, Department of Mathematical SciencesNorwegian UniversitiyTrondheimNorway
  3. 3.Department of MathematicsUniversity of PittsburghPittsburghUSA
  4. 4.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-27145-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-27144-1
  • Online ISBN 978-3-642-27145-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site