Harnack's Inequality for Degenerate and Singular Parabolic Equations

Released on by Emmanuele DiBenedetto
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  • Harnack's Inequality for Degenerate and Singular Parabolic Equations Book Detail

  • Author : Emmanuele DiBenedetto
  • Release Date : 2011-11-13
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 287
  • ISBN 13 : 1461415845
  • File Size : 57,57 MB
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Harnack's Inequality for Degenerate and Singular Parabolic Equations by Emmanuele DiBenedetto PDF Summary

Book 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/i”2 or im/i”1) and in the singular range (1“ip/i2 or 0“im/i

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Degenerate Parabolic Equations

Degenerate Parabolic Equations

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Evolved from the author's lectures at the University of Bonn's Institut für angewandte Mathematik, this book reviews recent progress toward understanding of th