Harnack's Inequality for Degenerate and Singular Parabolic Equations

By - DiBenedetto Emmanuele

Floor - Floor 2

Published - Springer, New York (N.Y.), cop. 2012

ISBN 10 - 1461415837

ISBN 13 - 9781461415831

Book Status - 1 Qnty Available with us.

Subject - Differential equations, Parabolic

Shelf No - 2

Call Number - 515.3534 DIB

Physical Description - 278 Pages; Illustration 25 cm

Notes - Includes Index

Book Information

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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