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Harnack's Inequality for Degenerate and Singular Parabolic Equations

Harnack's Inequality for Degenerate and Singular Parabolic Equations

Paperback

Series: Springer Monographs in Mathematics

General Mathematics

ISBN10: 1489999760
ISBN13: 9781489999764
Publisher: Springer
Published: Jan 25 2014
Pages: 278
Weight: 0.91
Height: 0.62 Width: 6.14 Depth: 9.21
Language: English

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.

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Dibenedetto, Emmanuele

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General Mathematics