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Harnack's Inequality for Degenerate and Singular Parabolic Equations, Hardback Book

Harnack's Inequality for Degenerate and Singular Parabolic Equations Hardback

Part of the Springer Monographs in Mathematics series

Description

Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years.

Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several authors, has remained basically open.

Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete. It seemed therefore timely to trace a comprehensive overview, that would highlight the main issues and also the problems that still remain open. The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p>2 or m>1) and in the singular range (1

It is addressed to all professionals active in the field, and also to advanced graduate students, interested in understanding the main issues of this fascinating research field.

Information

  • Format: Hardback
  • Pages: 278 pages, XIV, 278 p.
  • Publisher: Springer-Verlag New York Inc.
  • Publication Date:
  • Category: Calculus & mathematical analysis
  • ISBN: 9781461415831

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