Extinction and Positivity for the Non-Newtonian Polytropic Filtration Equation

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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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Extinction and Positivity for the Non-Newtonian Polytropic Filtration Equation. (1996). Journal of Partial Differential Equations, 9(2), 169-176. https://www.global-sci.com/index.php/jpde/article/view/3823

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