HARNACK ESTIMATES FOR WEAK SOLUTIONS OF EQUATIONS OF NON-NEWTONIAN POLYTROPIC FILTRATION

Citation:

YANG Shixin.HARNACK ESTIMATES FOR WEAK SOLUTIONS OF EQUATIONS OF NON-NEWTONIAN POLYTROPIC FILTRATION[J].Chinese Annals of Mathematics B,2001,22(1):63~74
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Authors:

YANG Shixin;

Foundation:

Project supported by the National Natural Science Foundation of China (No.19771069).
Abstract: An intrinsic Harnack estimate and some sup-estimates are established for nonnegative weak solutions of equations of non-Newtonian polytropic filtration $u_t – div(\|Du^m\|^{p-2}Du^m) =0, m(p-1) < 1, m > 0, p > 1$.

Keywords:

Harnack estimate, Sup-estimates, Equation of non-Newtonian polytropic filtration

Classification:

35K65
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