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While degenerate and singular parabolic equations have been researched extensively for the last 25 years, the Harnack inequality for nonnegative solutions to these equations has received relatively little attention. Recent progress has been made on the Harnack inequality to the point that the theory is now reasonably complete—except for the singular subcritical range—both for the p-Laplacian and the porous medium equations. This monograph prov...

While degenerate and singular parabolic equations have been researched extensively for the last 25 years, the Harnack inequality for nonnegative solutions to these equations has received relatively little attention. Recent progress has been made on the Harnack inequality to the point that the theory is now reasonably complete—except for the singular subcritical range—both for the p-Laplacian and the porous medium equations. This monograph prov...