We establish the intrinsic Harnack inequality for nonnegative solutions of the parabolic p-Laplacian equation by a proof that uses neither the comparison principle nor explicit self-similar solutions. The significance is that the proof applies to quasilinear p-Laplacian-type equations, thereby solving a long-standing problem in the theory of degenerate parabolic equations.

Intrinsic Harnack estimates for non-negative local solutions of degenerate parabolic equations

GIANAZZA, UGO PIETRO;
2006

Abstract

We establish the intrinsic Harnack inequality for nonnegative solutions of the parabolic p-Laplacian equation by a proof that uses neither the comparison principle nor explicit self-similar solutions. The significance is that the proof applies to quasilinear p-Laplacian-type equations, thereby solving a long-standing problem in the theory of degenerate parabolic equations.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11571/27687
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