Skip to main content
SpringerLink
Log in
Book cover
  • Book
  • © 2012

Regularity Estimates for Nonlinear Elliptic and Parabolic Problems

Cetraro, Italy 2009

Authors:

  1. John Lewis

    1. , Mathematics Department, University of Kentucky, Lexington, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Peter Lindqvist

    1. of Science and Technology, Department of Mathematical Sciences, Norwegian Universitiy, Trondheim, Norway

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Juan J. Manfredi

    1. Department of Mathematics, University of Pittsburgh, Pittsburgh, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. Sandro Salsa

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • The notes trace a timely overview of the main issues in the regularity theory for degenerate and singular elliptic and parabolic PDEs
  • The deep connections among seemingly unrelated topics are shown
  • The main results are thoroughly discussed and proper counterexamples are presented
  • Includes supplementary material: sn.pub/extras

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

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

Sections

Buy it now

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (4 chapters)

  1. Front Matter

    Pages i-xi
    PDF

  3. Regularity of Supersolutions

    • Peter Lindqvist
    Pages 73-131

  4. Introduction to Random Tug-of-War Games and PDEs

    • Juan J. Manfredi
    Pages 133-151

  6. Back Matter

    Pages 245-247
    PDF
Back to top

About this book

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.
Back to top

Keywords

Back to top

Authors and Affiliations

  • , Mathematics Department, University of Kentucky, Lexington, USA

    John Lewis

  • of Science and Technology, Department of Mathematical Sciences, Norwegian Universitiy, Trondheim, Norway

    Peter Lindqvist

  • Department of Mathematics, University of Pittsburgh, Pittsburgh, USA

    Juan J. Manfredi

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Sandro Salsa

Back to top

Bibliographic Information

Back to top

Publish with us

Policies and ethics

Back to top
Access via your institution

Buy it now

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Search

Navigation