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Extinction and Positivity for the Non-Newtonian Polytropic Filtration Equation
Authors:Hongjun Yuan
Abstract:The aim of this paper is to discuss the extinction and positivity for the non-Newtonian polytropic filtration equation \frac{∂u}{∂t} = \frac{∂}{∂x}(|\frac{∂u^m}{∂x}|^{p-2}\frac{∂u^m}{∂x}) with m > 0, p > 1.
Keywords:Quasilinear degenerate parabolic equations                                                                                                extinction and positivity
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